In the figure given below, find the area of shaded region: (All measurements are in cm)
Question types
Mensuration question types
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Sample Questions
Mensuration questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
Find the area of the square whose perimeter is 56 cm.
The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.
One side of a parallelogram is $20 cm$ and its distance from the opposite side is $16 cm $. Find the area of the parallelogram.
View full solution →In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.
A wire is along the boundary of a circle with a radius of 28 cm. If the same wire is bent in the form of a square, find the area of the square formed.
A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion. 
The inner circumference of a circular track is 264 m and the width of the track is 7 m. Find:
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.
The sides of a triangle are 21 cm, 17 cm, and 10 cm. Find its area.
The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is $165 m^2$ find the area of the lawn.
View full solution →The length and breadth of a rectangular piece of land are in the ratio $5: 3$. If the total cost of fencing it at the rate of ₹24 per meter is ₹9600, find its:
(i) length and breadth
(ii) area
(iii) cost of levelling at the rate of $₹ 60$ per $m ^2$.
View full solution →(i) length and breadth
(ii) area
(iii) cost of levelling at the rate of $₹ 60$ per $m ^2$.
The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference
(i) radius
(ii) diameters
(iii) circumference
The sides of a rectangular park are in the ratio $4: 3$. If its area is $1728 m^2$, find
(i) its perimeter
(ii) cost of fencing it at the rate of ₹ $40$ per meter.
View full solution →(i) its perimeter
(ii) cost of fencing it at the rate of ₹ $40$ per meter.
The ratio between the radius of two circles is $5 : 7.$ Find the ratio between their:
(i) circumference
(ii) areas
View full solution →(i) circumference
(ii) areas
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