Question

The difference in length of a rectangle is 100m longer than its breadth. If its perimeter is 1200m, then its area is:

A) 87,500 sq.m
B) 57,500 sq.m
C) 80,000 sq.m
D) 12,000 sq.m

Answer 1

The area of the rectangle is 87,500 sq.m.

Step-by-step explanation:

Let's represent the breadth of the rectangle as 'x'. According to the question, the length of the rectangle is 100m longer than its breadth, so the length can be represented as 'x+100'.

The formula for the perimeter of a rectangle is: P = 2(length + breadth). Substituting the values, we get 1200 = 2(x+100 + x), which simplifies to 1200 = 4x + 200.

Solving this equation, we find that x = 250. Therefore, the breadth of the rectangle is 250m and the length is 350m.

The formula for the area of a rectangle is: A = length x breadth. Substituting the values, we get A = 350 x 250 = 87,500 sq.m. So, the correct answer is A) 87,500 sq.m.