Question

Gopi has a square field of side 75 meter.Narayan has a rectangular field of length 85 M. If the perimeter of both sides are same whose field has greater area and by how much

Answer 1

Find the perimeter of Gopi's field:

Perimeter of a square = 4 x Length

Perimeter = 4 x 75 = 300 m

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Find the breadth of Narayan's field:

Perimeter = 2(Length + Breadth)

300 = 2(85 + breadth)

300 = 170 + 2 breadth

2 breadth = 130

breadth = 130 ÷ 2 = 65 m

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Find the area of Gopi's field:

Area = Length x Length

Area = 75 x 75 = 5625 m²

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Find the area of Narayan's field:

Area = Length x Breadth

Area = 85 x 65 = 5525 m²

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Compare the two area:

5625 > 5525

⇒ Gopi's field is bigger

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Difference = 5625 - 5525 =100 m²

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Answer: Gopi's field is bigger and it is bigger by 100m²

Answer 2

Answer is in photo graph