31. The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm2 . What is the circumference of the circle ?
32. The area of a rectangular field is 2100 sq. meters. If the field is 60 metres long, what is its perimeter ?
33. How many metres of carpet 63 cm wide will be required to cover the floor of a room 14 metres by 9 metres ?
34. If the length and breadth of a rectangular field are increased, the area increases by 50%. If the increase in length was 20 %, by what percentage was the breadth increased ?
35. Total area of 64 small squares of a chessboard is 400 sq. cm. There is 3 cm wide border around the chess board. What is the length of the side of the chess board ?
36. Area of a square natural lake is 50 sq. kms. A driver wishing to cross the lake diagonally, will have to swim a distance of :
37. A rectangular plank $$\sqrt 2 $$ metre wide is placed symmetrically on the diagonal of a square of side 8 metres as shown in the figure. The area of the plank is :
38. The area of a triangle whose sides are of lengths 3 cm, 4 cm and 5 cm is :
39. The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, then what is the length of the smallest side of the triangle ?
40. If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then which of the following statements is false ?
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