If the length of a rectangle is decreased by 6 cm, we get a square, and the area of the square formed is 252 cm² less than the area of the square formed when the breadth of the original rectangle is increased by 6 cm. Find the perimeter of the rectangle.

42 cm
88 cm
80 cm
84 cm

Correct answer: 84 cm

Solution

If decreasing the length by 6 cm makes a square, then length minus 6 equals breadth. The second square has side breadth plus 6, and its area exceeds the first by 252 cm². Solving gives the rectangle dimensions and hence the perimeter as 84 cm.

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