Verified answer

EXPLANATION.

Square and rectangle have same perimeter.

=> Sides of square is = 60 cm.

=> Length of the rectangle is = 80 cm.

perimeter of square = 4 X ( sides of square)

=> 4 X 60 = 240 m. ...... (1)

perimeter of rectangle = 2 X ( L + B )

=> 2 X ( 80 + B)

=> 160 + 2B ......(2)

=> 160 + 2B = 240

=> 2B = 240 - 160

=> 2B = 80

=> B = 40 m.

Area of rectangle = L X B.

=> 80 X 40 = 3200 m².

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Perimeter of square formula = 4 × side of the square

Hence,

➠P (square) = 4 × 60 = 240 m

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Perimeter of rectangle formula = 2 × (Length + Breadth)

Hence,

➠P (rectangle) = 2 (80 + Breadth) = 160 + 2 × Breadth

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According to the given question,

➩160 + 2 × Breadth = 240

➩2 × Breadth = 240 – 160

➩Breadth = 80/2

➩Breadth of the rectangle = 40 m

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⇝Now, the area of rectangle = Length × Breadth = 80 × 40 = 3200m²

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