15. Two fields have the same perimeter. One is square of side 64 m and the other is a rectangle of length 70 m.
Which plot has the greater area and by how much?
(a)
(b)
(c)
(d)
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QUESTION- Two fields have the same perimeter. One is square of side 64 m and the other is a rectangle of length 70 m.
Which plot has the greater area and by how much?
⤵⤵⤵
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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