Question 1 :
The area of a rectangular garden is $2100$ $ft^2$. Find the width if its height measures $20$ ft.<br/>
Question 2 :
If the angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4, then the smallest angle in the centesimal system is _____
Question 3 :
The sides of a triangle are 35cm, 54cm and 61cm, respectively. The length of its longest altitude is<br/>
Question 4 :
For a quadrilateral, with the $4$ sides given and with none of the angles $90^o,$ <br/>
Question 5 :
A rectangular cupboard is of length 3 m and perimeter 30 m. Find the width of the cupboard.<br>
Question 6 :
What is the volume (in $\displaystyle cm^{3}$) of the prism whose base is a hexagon of side 6 cm and height$\displaystyle 12\sqrt{3}$ cm?
Question 7 :
Use Heron's formula to find the area of a triangle of lengths $5 cm, 9 cm$ and $12 cm$.
Question 8 :
<font color="#4d4d4d" face="Alegreya">A quadrilateral $ABCD$ has $\angle C =90,AB=9 cm,BC=8cm,CD=6cm$ and $AD=7 cm.$ How much area does it occupy?</font><br/>
Question 9 :
Use Heron's formula to find the area of a triangle of lengths $4, 5$ and $6.$
Question 10 :
The dimensions of a car petrol tank are $\displaystyle 50cm\times 32cm\times 24cm,$ which is full of petrol. If car's average consumption is 15 km per litre, find the maximum distance that can be covered by the car.<br>
Question 11 :
The sides of a triangle are 11 cm 15 cm and 16 cm The altitude to largest side is
Question 12 :
The vertices of a triangle are (2, 0), (-2, -1), and (3, -4). The triangle is
Question 13 :
The vertices of a triangle are the intersections of the lines whose equations are y = 0, x = 3y, and 3x + y = 7. This triangle is
Question 14 :
<p>A traffic signal board, indicating 'SCHOOLAHEAD', is an equilateral triangle with side $a$. Find the area of the signal board, using Heron's formula. If its perimeter is $180 cm$, what will be the area of the signal board?</p>
Question 15 :
$ABCD$ is a parallelogram $AB=14\;cm,BC=18\;cm,AC=16\;cm$ then the length of the length of the other diagonal.
Question 16 :
The triangular side - wall of a flyover have been used for advertisements, The sides of the walls are 122 m, 22m and 120 m. The advertisements requires rent of Rs 5000 per $\displaystyle m^{2}$ per year. A company hired one of its walls for 3 months. How much rent did it pay ?
Question 17 :
The difference between the area of a square and that of an equilateral triangle on the same base is $\displaystyle \frac{1}{4}cm^{2}$. What is the length of the side of the triangle?
Question 18 :
Using Heron's formula find the area of a quadrilateral whose sides are $3\ cm, 4\ cm, 4\ cm$, and $5\ cm$. The angle between the first two sides is $90^0$. <br/>
Question 19 :
An equilateral triangle and a regular hexagon have the same perimeter. If the area of the hexagon is $72\sqrt{3}$, calculate the area of the triangle.
Question 20 :
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the area is multiplied by: