Question 1 :
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Question 2 :
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
Question 3 : <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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa978c526e972caf002.PNG' />
In the given figure, Anu wants to fence the garden in front of her house, on three sides with lengths 20 m, 12 m and 12 m. Find the cost of fencing at the rate of Rs.150 per metre.
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caefff.PNG' />
In the given figure, Find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm,DN = 3 cm, and BM ⊥ AC, DN ⊥ AC
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cac8f59b460d7261eb69.png' />
In above image, find the area of parallelogram.
Question 7 :
The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the cost of the land, if 1 m$^2$ of the land cost Rs 10,000.
Question 8 : <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 9 :
Find the circumference of the circle with the radius 21 cm. (Use π = $ \frac{22}{7}$)
Question 10 :
A circular flower garden has an area of 314 m$^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 11 : <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 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa978c526e972caf003.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 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff5.PNG' />
In the given figure, Find the area of the triangle .
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa078c526e972caefe0.PNG' />
In the given figure, Find the area of the triangle shown above.
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff8.PNG' />
In the given figure, Find the area of the parallelogram .
Question 16 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is30 cm, find its length. Also find the area of the rectangle.
Question 17 :
The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.
Question 18 :
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet.
Question 19 :
The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
Question 20 :
Find the height of parallelogram when its base and area are 20cm and $246 cm^{2}$ respectively.
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9f78c526e972caefdf.PNG' />
In the given figure, One of the sides and the corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram as shown in the figure above.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacef59b460d7261eb72.png' />
In above image, PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find QN if PS = 8cm.
Question 23 : <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 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad2f59b460d7261eb76.png' />
In above image, find the area of parallelogram.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe3.PNG' />
In the given figure, In ∆PQR, PR = 8 cm, QR = 4 cm and PL = 5 cm as shown in the figure above. Find: (i)the area of the ∆PQR (ii)QM
Question 26 :
Find the height ‘x’ if the area of the parallelogram is $24 cm^{2}$ and the base is 4 cm.
Question 27 :
Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m$^2$.
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caeffe.PNG' />
In the given figure, Find the area of shaded portion for the above figure.
Question 29 :
Find the base of parallelogram when its height and area are 15cm and $154.5 cm^{2}$ respectively.
Question 30 : <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 31 :
Find the base of parallelogram when its height and area are 8.4cm and $48.72 cm^{2}$ respectively.
Question 32 :
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1caccf59b460d7261eb6f.png' />
In above image, find the area of parallelogram.
Question 34 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.
Question 35 :
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Use π = 3.14)
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad1f59b460d7261eb75.png' />
In above image, find the area of triangle.
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad4f59b460d7261eb79.png' />
In above image, PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find the area of the parallelogram PQRS.
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa478c526e972caeff1.PNG' />
In the given figure, Find the area of the triangle.
Question 39 :
A door-frame of dimensions 3 m × 2 m is fixed on the wall of dimension10 m × 10 m. Find the total labour charges for painting the wall if theclabour charges for painting 1 $m^{2}$ of the wall is Rs.2.50.
Question 40 :
What is the circumference of a circular disc of radius 14 cm? (Use π = $ \frac{22}{7}$)
Question 42 :
A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area ofthis path?
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aaa78c526e972caf005.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 44 :
A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet?
Question 45 : <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 46 :
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 47 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
Question 48 :
Find the height of triangle when its base and area are 15cm and $87 cm^{2}$ respectively.
Question 49 :
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 50 :
What is the area of rectangle where length=l and breadth=b ?
