A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process,...

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 m^2 of area. What is the area of the original rectangle in square meters?

A. 1125
B. 2250
C. 2924
D. 4000

Accepted Answer

Original rectangle area = 2250 m^2 — Option B A rectangle is trimmed on both dimensions until it becomes a square. The amount of area lost tells us the side of the resulting square, and from that we recover the original dimensions. The area loss is not just the product of the reductions — it includes the corner overlap and two strips.

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 m^2 of area. What is the area of the original rectangle in square meters? A. 1125 B. 2250 C. 2924 D. 4000