A rectangle has an area of 48 cm² and a perimeter of 28 cm. If the midpoints of the sides of the rectangle are joined to form a rhombus, what will be the area of the rhombus?

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CGL MAINS 2026

Correct Answer :C - 24 cm²

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Let length = l and breadth = b

Given:
Area = l × b = 48
Perimeter = 2(l + b) = 28

So,
l + b = 14
l × b = 48

Solving:
l = 8 and b = 6

When midpoints of the sides of a rectangle are joined, a rhombus is formed.

Area of rhombus formed by joining midpoints = 1/2 × Area of rectangle

Area of rhombus = 1/2 × 48
= 24 cm²