AreaPractice Questions

A rectangular hall is 24 m long and 18 m wide. Inside it, a carpet of size 6 m × 4 m is placed without overlapping. What is the maximum number of carpets needed to fully cover the hall without cutting any carpet?

A square park has a path of uniform width running all around it on the inside. If the park is 100 m on each side and the path occupies 840 m², what is the width of the path?

A triangular plot of land has sides 25 m, 39 m, and 40 m. What is the cost of fencing the land at ₹120 per meter and then leveling the plot at ₹30 per square meter?

A pole is tied with two ropes of lengths 15 m and 20 m to two fixed points on the ground which are 24 m apart. The ropes and the ground form a triangle. What is the approximate area enclosed between them?

The sides of a triangular field are in the ratio 3:4:5 and its perimeter is 144 m. What is the area of the field?

A parallelogram-shaped billboard has a base of 24 m and height 10 m. If it costs ₹5.50 to paint one square meter, what is the total cost to paint the entire billboard on both sides?

A rhombus-shaped plot has diagonals of 60 m and 80 m. A gardener is paid ₹2 per square meter to sow grass in the plot. How much will he be paid?

A circular pond of radius 14 m is surrounded by a path 2 m wide. What is the area of the path? (Take π = 22/7)

A wire is bent to form a square of area 121 cm². The same wire is then bent into a circle. What will be the area of the circle? (Use π = 22/7)

A sector of a circle with radius 21 cm has a central angle of 120°. What is the area of the sector? (Use π = 22/7)