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