The areas of a rectangle and a square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of other side of the rectangle would be


A) 5 cm

B) 8 cm

C) 10 cm

D) 12.5 cm

Correct Answer:
C) 10 cm

Description for Correct answer:

Side of square = 5 cm

Therefore, Area of square = \( \Large 5^{2} \) = 25 sq. cm.

Breadth of rectangle = \( \Large \frac{5}{2} \) = 2.5 cm

Let x cm be the length of other side of rectangle.

Therefore, Area of rectangle = 2.5x sq. cm

Therefore, 25 = 2.5x

Therefore, \( \Large x = \frac{25}{2.5} = 10\ cm \)


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