Mensuration Questions & Answers

Q11 An order was placed for the supply of a carpet whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its perimeter. Find the ratio of the areas of the carpets in both the cases.

Q12 A park in the form of a right-angled triangle has a base and height of 10 m and 15 m respectively. Find the area of the park?

Q13 The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

Q14 A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

Q15 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cubic meter , then the rise in the water level in the tank will be:

Q16 There is a rectangular Garden whose length and width is 60m X 20m.There is a walkway of uniform width around the garden. Area of the walkway is 516 sq.m. Find the width of the walkway?

Q17 If a circle and a square have the same area, then what will be the perimeter of the square, if the diameter of the circle is 8 cm.

Q18 A field with equal sides of 40m is full of grass. One cow is tied to each corner of the field by a rope of 14m. How much grass will not be eaten by those 4 cows?

Q19 Poles are to be created along the boundary of a rectangular field in such a way that distance between any two adjacent poles is 1.5 metres. The perimeter of the field is 21 metres and length and the breadth are in the ratio of 4:3 respectively. How many poles will be required?

Q20 Find the length of the longest pole that can be placed in a room 12 m long, 8m broad and 9 m high.