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A polygon has a perimeter of 16cm and an area of 16cm2. The shape of the polygon is
Question



A polygon has a perimeter of 16cm and an area of 16cm2. The shape of the polygon is

A.

triangle

B.

square

C.

hexagon

D.

rectangle which is not a square

Correct option is B

A square has equal sides, and its perimeter is given by: Psquare=4×side Given that the perimeter is 16 cm: 4×side=16 So, side=16/4=4 cm
The area of a square is given by: Asquare=side2 Substituting the side length of 4 cm: Asquare=42=16 cm2
Thus, the perimeter and area both satisfy the given conditions, confirming that the polygon is a square.

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