Question

two plots of land have the same perimeter one is a square of side 64 and other is a rectangle of length 70 metre find the breadth of the rectangular plot which plot has the greater area and by how much ​

Answer 1

Step-by-step explanation:

Plots have same perimeter.

Side of square field = 64m

perimeter = 64*4 = 256m

length of rectangular plot = 70m

breadth = b

2(70+b) = 256

⇒ 70+b = 256/2 = 128

⇒ b = 128 - 70

⇒ b = 58m

Area of square = 64*64 = 4096 m²

Area of rectangle = 70*58 = 4060 m²

Area of square is more than rectangle by = 4096 - 4060 = 36m²

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