Question

The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 32 cm, then find the area of the square.

A 225 sq.metre Correct Answer Incorrect Answer
B 169 sq.metre Correct Answer Incorrect Answer
C 256 sq.metre Correct Answer Incorrect Answer
D 196 sq.metre Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Perimeter of the rectangle = 2 x 32 = 64 cm Perimeter of the square = 120 – 64 = 56 cm Each side of the square = 56/4 = 14 cm Therefore, area of the square = 142 = 196 cm2

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