Question 1 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle.
Question 2 :
A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: (i)the area of the path (ii)the cost of planting grass in the remaining portion of the garden at the rate of Rs.40 per $ m^{2}$.
Question 3 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find the area.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa578c526e972caeff3.PNG' />
In the given figure, Find the area of the parallelogram .
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caeffd.PNG' />
In the given figure, The adjoining figure represents a rectangular lawn with a circular flower bed in themiddle. Find: (i)the area of the whole land (ii)the area of the flower bed (iii)the area of the lawn excluding the area of the flower bed (iv)the circumference of the flower bed.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacbf59b460d7261eb6d.png' />
In above image, find the area of triangle.
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aab78c526e972caf007.PNG' />
In the given figure, The outer rectangle is of length 6 cm and breadth 4 cm and is composed of congruent polygons. Find the area of each polygon.
Question 8 :
Find the height of triangle when its base and area are 22cm and $170.5 cm^{2}$ respectively.
Question 9 :
Find the breadth of a rectangular plot of land, if its area is 440 m and the length is 22m.
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa078c526e972caefe2.PNG' />
In the given figure, Find BC, if the area of the triangle ABC is $36cm^{2}$ and the height AD is 3 cm as shown in the figure above.
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c9e6f59b460d7261ea3e.PNG' />
A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs. 4 per meter. (Use π = $ \frac{22}{7}$)
Question 12 :
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
Question 13 :
What is the area of triangle where base=b and height=h ?
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacbf59b460d7261eb6e.png' />
In above image, find the perimeter of the semicircle including its diameter.
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad3f59b460d7261eb78.png' />
In above image, find the area of parallelogram.
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefed.PNG' />
In the given figure, A door of length 2 m and breadth 1m is fitted in a wall. The length of the wall as in the image above is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of white washing the wall is Rs.20 per $m^{2}$.
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad3f59b460d7261eb77.png' />
In above image, ABC is right angled at A. AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, find the area of ΔABC. Also find the length of AD
Question 19 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
Question 20 :
A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find the area of the verandah.
Question 21 :
Two cross roads, each of width 10 m, cut at right angles through the centre of a rectangular park of length 700 m and breadth 300 m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.
Question 22 :
A path 1 m wide is built along the border and inside a square garden of side 30m. Find the area of the path.
Question 23 :
What would you need to find, area or perimeter to answer the following : How much plastic sheet do you need to cover a rectangular swimming pool ?
Question 24 :
Find the circumference of the circle with the radius 21 cm. (Use π = $ \frac{22}{7}$)
Question 25 :
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefea.PNG' />
In the given figure, Which of the squares has larger perimeter?
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe4.PNG' />
In the given figure, The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm as shown in the figure above. Find the (i)area of the parallelogram. (ii)the height corresponding to the base AD
Question 28 :
The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cadcf59b460d7261eb83.png' />
In above image, find the area of shaded part.
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad9f59b460d7261eb80.png' />
In above image, find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm, DN = 3 cm, and BM perpendicular to AC, DN perpendicular to AC.
Question 31 :
Find the area of the circle with the diameter 49 m. (Use π = $ \frac{22}{7}$)
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa478c526e972caefee.PNG' />
In the given figure, Find the area of the triangle.
Question 33 :
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?
Question 34 :
Find the breadth of a rectangular plot of land, if its area is 440 $m^{2}$ and the length is 22 m. Also find its perimeter.
Question 35 :
How many times a wheel of radius 28 cm must rotate to go 352 m? (Use π = $ \frac{22}{7}$)
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cadaf59b460d7261eb81.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the area of the lawn excluding the area of the flower bed.
Question 37 :
Find the height of parallelogram when its base and area are 20cm and $246 cm^{2}$ respectively.
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c84df59b460d7261e829.PNG' />
In the image above, architects drew plans for houses. An architect wants to install a decorative moulding around the ceilings in all the rooms. The decorative moulding costs Rs. 500 per metre. Find how much moulding will be needed for bedroom 1.
Question 39 :
Find the area of the circle with the radius 5cm. (Use π = $ \frac{22}{7}$)
Question 40 :
Find the base of triangle when its height and area are 31.4mm and $1256 mm^{2}$ respectively.
Question 41 :
A path 5 m wide runs along inside a square park of side100 m. Find the area of the path. Also find the cost of cementing it at the rate of Rs. 250 per 10 $m^{2}$.
Question 42 :
What is the circumference of a circle of diameter 10 cm (Take π = 3.14)?
Question 43 :
In a parallelogram ABCD, AB = 7.2 cm and the perpendicular from C on AB is 4.5 cm. Find its area.
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacef59b460d7261eb71.png' />
In above image, find the area of triangle.
Question 45 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff6.PNG' />
In the given figure, ∆ABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm . The height AD from A to BC, is 6 cm. Find the area of ∆ABC. What will be the height from C to AB i.e., CE?
Question 46 :
A circular flower garden has an area of 314 m$^2$. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden?
Question 47 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find the area of the rectangle.
Question 48 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. If the same wire is bent into the shape of a square, what will be the length of each of its sides?
Question 49 :
Find the height of parallelogram when its base and area are 15.6cm and $16.38 cm^{2}$ respectively.
Question 50 :
A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find the cost of cementing the floor of the verandah at the rate of Rs 200 per m$^2$
