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Answer to Q54

A rectangle and a square both has the same area. Which one of them has the highest perimeter?

To answer this question let's imagine a square of length and breath 4m. The area will be L x B = 4 x 4 = 16m²

The perimeter is said square is L+L+B+B = 4 + 4 + 4 + 4 = 16m

Now imagine a rectangle with the same area 16m² which has a side as 2m. The other side will be L x 2 = 16m²

L = 16 ÷ 2 = 8m

Perimeter of the rectangle is L+L+B+B = 8 + 8 + 2 + 2 = 20m

So, the perimeter of a rectangle will be large than that of a square with equal area.

Answer: Rectangle

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616 viewsAug 30, 2019 at 09:23

Answer to Q54

A rectangle and a square both has the same area. Which one of them has the highest perimeter?

To answer this question let's imagine a square of length and breath 4m. The area will be L x B = 4 x 4 = 16m²

The perimeter is said square is L+L+B+B = 4 + 4 + 4 + 4 = 16m

Now imagine a rectangle with the same area 16m² which has a side as 2m. The other side will be L x 2 = 16m²

L = 16 ÷ 2 = 8m

Perimeter of the rectangle is L+L+B+B = 8 + 8 + 2 + 2 = 20m

So, the perimeter of a rectangle will be large than that of a square with equal area.

Answer: Rectangle

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