Aptitude – Problems On Areas

November 22nd, 2010 by prashanthi Leave a reply »
1. A lawn is in the form of a rectangle having its sides in the ratio 2:3 The area of the lawn is 1/6 hectares. Find the length and breadth of the lawn.





2. The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.





3. A room is half as long again as it is broad. The cost of carpeting the room at Rs 5 per sq m is Rs 2.70 and the cost of papering the four walls at Rs 10 per sq m is Rs 1720. If a door and 2 windows occupy 8 sq cm. Find the dimensions of the room?





4. If each side of a square is increased by 25%, find the percentage change in its area?





5. The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per meter.





6. If the radius of a circle is decreased by 50% , find the percentage decrease in its area.





7. If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.





8. Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively. Find the width of the ring.





9. The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?





10. In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements.







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