# The area of square ABCD is 144 sq cm.let PQRS be the square obtained by joining the mid-points of the sides of the square ABCD.find the perimeter and area of the square PQRS.

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by garg4382

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by garg4382

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So, side of square ABCD = 12 cm

Side of the square obtained by joining the midpoints of the ABCD =

Therefore, the side of the square PQRS =

Area of square PQRS = sq cm

Perimeter = 4 × = cm