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The area of a square is 36 cm2. Find the area of the square formed by joining the mid-points of its sides.
Question

The area of a square is 36 cm2. Find the area of the square formed by joining the mid-points of its sides.

A.

18 cm2

B.

25 cm2

C.

28 cm2

D.

20 cm2

Correct option is A

Given:

Area of square = 36 cm²
Formula Used:

Area of square formed by joining the midpoints of its sides = 12\frac{1}2​ × (Area of original square)
Solution:

=> Area of square formed by joining the midpoints of its sides =12\frac{1}2​ × 36 cm²

=> Area of square formed by joining the midpoints of its sides = 18 cm²

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