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Perimeter of Rectangles and Squares

The perimeter...

Question

The perimeters of a square and a rectangle are equal. If their areas be A m² and B m², then which of the following is a true statement?

(a) A < B
(b) A ≤ B
(c) A > B
(d) A ≥ B

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Solution

(c) A > B

We know that a square encloses more area even though its perimeter is the same as that of the rectangle.

∴ Area of a square > Area of a rectangle

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