Question
A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters?
Options :
1125
2250
2924
4500
Answer :
2250
Solution :
Let ‘a’ be the side of square, then length and breadth of rectangle are ‘a+10 and ‘a+5’ respectively. Given that,
Area of rectangle= Area of Square+650
(a + 10)(a + 5) = a2 + 650
a2 + 15a + 50 = a2 + 650
15a = 600
a = 40
Area of rectangle=a2 + 650
Area of rectangle=1600+650=2250
Copyright © 2025 Test Academy All Rights Reserved