Mensuration

The length and breadth of a rectangular piece of land are in the ratio of 5 : 3. If the total cost of fencing it at Rs 24 per metre is Rs 9600, find its length and breadth.

• 125 m , 75 m

• 123 m , 75 m

• 25 m , 47 m

• 98 m , 25 m

The area of a square is 16200 m². Find the length of its diagonal.

• 160 m

• 180 m

• 82 m

• 81 m

The area of a square plot is 6084 m². Find the length of the wire which can go five times along the boundary of the plot.

• 308 m

• 312 m

• 1248 m

• 1560 m

A rectangular lawn 70 m by 50 m has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth. Find the cost of constructing the roads at Rs 120 per m².

• 575 sq m

• Rs. 69,000

• Rs. 67,500

• Rs. 35,000

A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m², find the area of the lawn.

• 161 sq m

• 196 sq m

• 14 m

• 28 sq m

The sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm. Find the area of the triangle.

• 42 cm

• 368 sq cm

• 456 sq cm

• 336 sq cm

Find the radius of a circle whose circumference is 57.2 cm.

• 91 cm

• 9.1 cm

• 57 cm

• 68 cm

The ratio of the radii of two circles is 5 : 3. Find the ratio of their circumferences.

• 5 : 4

• 3 : 5

• 5 : 3

• 25 : 9

The inner circumference of a circular track is 330 m. The track is 10.5 m wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of Rs 20 per metre.

• Rs. 7920

• Rs. 7290

• Rs. 2052

• Rs. 8920

A wire is looped in the form of a circle of radius 35 cm. If it is rebent in the form of a square, what will be the length of each side of the square?

• 52 cm

• 55 cm

• 34 cm

• 65 cm