Question 1 :
A rectangular field has its length and breadth in the ratio 5 : 3 Its area is 3.75 hectares The cost of fending it at Rs 5 per metre is
Question 2 :
If the area of a triangle with base $x$ is equal to area of a square of side $x$, then the altitude of the triangle is __________.
Question 3 :
A rectangular carpet has an area of $60\ m^{2}$. Its diagonal and longer side together equal $5$ times the shorter side. The length of the carpet is
Question 4 :
A cow is tied at the corner of a square field with 21 m long rope. The side of the square is 25 m The area of the field on which the cow cannot graze is
Question 5 :
Rectangle ABCD has side AB and BC in the ratio 3 : 1. If the diagonal AC is 5 cm, the area of the rectangle is ______________.
Question 6 : <span>Say true or false.</span><div>The length of a rope by which a cow must be tethered in order that it may be able to graze of an area of $616$ $cm^2$ is $18 cm.$</div>
Question 7 :
40 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet.What is the area of her living room floor ?
Question 8 :
If the length of a rectangle is two times its breadth and area is $228{cm}^{2}$, then length and breadth are respectively ________ .
Question 9 :
The triangle ABC has medians AD, BE, CF, AD lies along the line $y=x+3$, BE lies along the line $y=2x+4$, AB has length $60$ and angle $C=90^o$, then the area of $\Delta$ABC is?
Question 10 :
If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm . Find the area of the rectangle is.
Question 11 : <div><span>Give possible expressions for the length and breadth of the following rectangle, in its area is given:</span><br/></div>$Area: 25a^2-25a+12$<br/>
Question 12 :
<span>In a garden, there are $10$ rows and $12$ columns of mango trees. The distance between the two trees is $2$ metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is</span>
Question 13 :
A regular hexagon of maximum possible area is cut off from an equilateral triangle. The ratio of area of triangle to the area of hexagon will be
Question 14 : <div><span>State true or false.</span><br/></div>The area enclosed by a chord and the minor arc is minor segment.
Question 15 :
Find the area and perimeter respectively of a rectangular plot of land whose length and breadth are $15.4m$ and $6.5m$ respectively.
Question 16 :
If the length of circumference of a circle is $60$cm more than its diameter, then length of its circumference is?
Question 17 :
A circle and a square have equal areas. The ratio of a side of the square and the radius of the circle is:
Question 18 :
In a rectangle, the difference between the sum of adjacent sides and the diagonal is half the length of longer side. What is the ratio of the shorter to the longer side?
Question 19 :
The hypotenuse of a right angled triangle is $10\space cm$ and the radius of its inscribed circle is $1\space cm$. Therefore, perimeter of the triangle is
Question 20 :
A horse is tied to one corner of a rectangular field, $60$ m by $40$ m, by a rope $14$ m long. How much area can the horse graze?
Question 21 :
A floor which measures $15m\, \times\, 8m$ is to be laid with tiles measuring $50cm\, \times\, 25cm$. Find the number of tiles required.<br/>Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges and the edges of the floor, what fraction of the floor is uncovered.
Question 22 :
A cord in the form of a square encloses the area <span>'S' cm$^2$. If the same cord is bent into the form of a circle, then the area of the circle is</span>
Question 23 :
Four horses are tied on the four corners of a square field of $14 m$ length so that each horse can just touch the other two horses. They were able to graze in the men accessible to them for $11$ days. For how many days is the ungrazed area sufficient for them?<br/>
Question 24 :
In a square shaped park, whose side measures $28$ m, a rectangular pond is located at the centre with dimensions $3$ <span>m and $2$ m. The area of the park excluding the pond is</span>
Question 25 :
Find the perimeter of a circle whose radius is 7 cm (in cm)<br><br>
Question 26 : <div><span>State true or false.</span><br/></div>The area enclosed by a chord and the major arc is major segment.
Question 27 :
The volume of a right cone is 924$\displaystyle m^{2}$ and its height is 18 m then lateral surface area is<br>
Question 28 :
The length of a rectangular field is double its width. Inside the field there is a square-shaped pond $8\ m$ long. If the area of the pond is $\displaystyle \frac{1}{8}$ of the area of the field, what is the length of the field?
Question 29 :
The perimeter of the incircle is $30$ m and its radius $10$ m. What is the area of the triangle?<br/>
Question 30 :
<span>The number of marble slabs of size $20\ cm \times 30\ cm$ required to pave the floor of a square room of side 3 metres is</span>
Question 31 :
The minute hand of a clock is $10 cm$ long. The area of the face of the clock described by the minute hand between $9AM$ and $9.35AM$ is
Question 32 :
The length of a minute hand of a wall clock is $9$ cm. what is the area swept (in sq. cm) by the minute hand in $20$ minutes? (Take $\pi = 3.14$)
Question 33 :
<span>The ratio between the perimeter and the breadth of a rectangle is $5 : 1$. If the area of the rectangle is $216\ sq.\ cm$, what is the length of the rectangle?</span><br/>
Question 34 :
The side of a square is 2 cm. Semicircles are constructed on two sides of the square, then the area of the whole figure is
Question 35 :
The side of a square is $2 cm$ and semicircles are constructed on each side of the square, then the area of the whole figure is
Question 36 :
If the length and breadth of a rectangular plot are each increased by $1 m$ then the area of the floor is increased by $21$ sq m. If the length is increased by $1 m$ and breadth is decreased by $m$, then the area is decreased by $5$ sq m. What is the perimeter of the floor?
Question 37 :
The perimeter of a rectangular plot whose length is $75 m$ and breadth is $50 m$ is ...........
Question 38 :
Perimeter of a square garden is $444$ m. Then its side measures
Question 39 :
A garden is $24\ m$ long and $14\ m$ wide. There is a path $1\ m$ wide outside the garden along its sides. If the path is to be constructed with square marble tiles $20\ cm\, \times\, 20\, cm$, then how many number of tiles will be require to cover the path ?
Question 40 :
The area of the sector of circle with radius 7 cm and of angle $\displaystyle 60^{\circ}$ is<br/>
Question 41 :
Rectangle 'R' has area $48$ and integral side-lengths. Which of the following cannot be the ratio of the length of R's longer side to that of its shorter side?
Question 42 :
If the radius of the circle is increased by $100%$, then the area is increased by
Question 43 :
On a map, $1$ centimeter represents $100,000$ centimeters. What is the length of a road in kilometers that measures $2.9$ centimeters on the map?
Question 44 :
What will be the perimeter of a rectangle if its length is 3 times its width and the length of the diagonal is $\displaystyle 8\sqrt{10}$ cm ?
Question 45 :
The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of a side of the square by $5\ cm$ and breadth is less than the side of the square by $3\ cm$. The perimeter of the rectangle is
Question 46 :
A room $8\,cm$ long, $6\,cm$ broad and $3\,cm$ high has two window $\displaystyle 1\frac{1}{2}\,m\times1\,m$ and door $\displaystyle 2\,m\times\frac{1}{2}m$ Find the cost of papering the walls with paper $50\,cm$ wide at $25\,p$ per meter.
Question 47 :
A square and a parallelogram have the same area. If a side of the square is $40m$ and the height of the parallelogram is $20m$, find the base of the parallelogram.<br>
Question 48 :
The area of a circle is doubled when its radius $r$ is increased by $a$. Therefore, radius $r$ equals
Question 49 :
Perimeter of a rectangle is $170$ m and its length is $50$ m. Then the breadth is
Question 50 :
If the ratio between the length and perimeter of a rectangular is $1:3$, then the ratio between the length and breadth of the plot
Question 51 :
The perimeter of circle is $\displaystyle \pi $ cm, then the area<br>
Question 52 :
A race track is in the form of a ring whose inner circumference is 440 m & outer circumference is 506 m The width of the track is <br>
Question 53 :
The radius of a circle is a side of a square. The ratio of the areas of the circle and square is
Question 54 :
Each side of a square field measures $85m$. The distance covered by a man going around the field $5$ times is _______ .
Question 55 :
If the perimeter of a rectangle and a square, each is equal to $80$cm and the difference of their areas is $100$ sq cm, the sides of the rectangle are:
Question 56 :
Each side of a square is 5 cm. The perimeter of the equilateral triangle formed on the diagonal of the square would be-
Question 57 :
The surface area of a sphere of radius $5\space cm$ is five times the area of the curved surface of a cone of radius $4\space cm$. Find the height of the cone.
Question 58 :
A rectangle was altered by increasing its length by $10$ percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by $12$ percent, what is the value of $p$?
Question 59 :
A circle of radius x has an area twice that of a square of side a. The equation used to find the radius of the circle is
Question 60 :
A rectangular field is 30 m in length and 22 m in width. Two mutually perpendicular roads, each 2.5 m wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.
Question 61 :
A square and a rectangle have same perimeter. The side of square is $40$ cm and length of rectangle is $10$ cm, find breadth of rectangle.
Question 62 :
A man usually gets from one corner of a square lot to the opposite corner by walking along two of the sides. Approximately what percent of the distance does he save if he walks along the diagonal?
Question 63 :
If circle R, of area 4 square inches, radius of circle S is twice of circle R, then the area of circle S, in square inches, is
Question 64 :
The length of a hall with a flat roof is $20$ m and width is $15$ m. If the sum of the areas of the floor and roof is equal to the total area of the $4$ walls, then the ratio of the numerical value of the height to the volume of the hall is
Question 65 :
An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle is $12 dm^2$ then the difference of their areas (in $dm^2$ ) is :
Question 66 :
The number of square in tin sheets of side 20 cm that can be cut off from a square tin of side 1 m, is
Question 67 :
A square and an equilateral triangle have equal perimeters. Ifthe diagonal of the square is $6 \sqrt2$<span> cm, then the area of the triangle is</span>
Question 68 :
A boy walks diagonally across a square lot. What percent does he save by not walking along the edges (approximately)?
Question 69 :
Find perimeter of a square if its diagonal is $16\sqrt {2}\ cm$.
Question 70 :
The diameters of two wheels are $10$ in. and $14$ in. The smaller makes $50$ more revolutions than the larger in going a certain distance. This distance, in inches, is
Question 71 :
The perimeter of sheet of paper in the shape of a quadrant of a circle is 25 cm then area of the paper is <br>
Question 72 :
The dimension of a rectangular court is such that if the length were increased by $2$ metres and the breadth diminished by the same, its area would be diminished by $12$ square metres, and if the length were increased by $2$ metres and its breadth increased by the same. Its area would be increased by $44$ square metres. Find the length.
Question 73 :
You need to take $n$ arbitrary points on or inside a square of side $2cm$ that there will always be a pair of points at a distance of not more than $\sqrt{2}cm$. What is the minimum value of $n$?
Question 74 :
There are two squares s$_1$ and s$_2$. The ratio of their areas is $4:25$. If the side of s$_1$ is $6$ cm , what is the side of s$_2$?
Question 75 :
The cost of fencing a circular field at the rate of Rs 12 per meter is Rs 1320 The field is to be ploughed at Rs 2 per $\displaystyle m^{2}$ then of ploughing is $\displaystyle \left ( \pi =\frac{22}{7} \right )$<br/>
Question 77 :
In a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 meters and a distance of one metre is left from all side of the boundary of the garden . The length of the garden is :
Question 78 :
The base of a triangle is $16$ inches and its altitude is $10$ inches. The area of the trapezoid cut off by a line $4$ inches from the vertex is
Question 79 :
A circle is inscribed in a square and then a smaller square is inscribed in the circle. The ratio of the area of the smaller square to that of the larger square is
