Two plots of land have the same perimeter.One is a square of side 64m and the other is a rectangle of length 70m. Find the breadth of the rectangular plot. Which plot has the greater area and by how much?
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Answers
Answer:
Area of square is more than rectangle by = 4096 - 4060 = 36 m²
Explanation:
Plots have same perimeter.
Side of square field = 64 m
perimeter = 64*4 = 256 m
length of rectangular plot = 70 m
breadth = b
2(70+b) = 256
⇒ 70+b = 256/2 = 128
⇒ b = 128 - 70
⇒ b = 58 m
Area of square = 64*64 = 4096 m²
Area of rectangle = 70*58 = 4060 m²
Area of square is more than rectangle by = 4096 - 4060 = 36 m²
Explanation:
Perimeter of sque 4× side
= 4× 64 = 256m
If the perimeter of both poles are same
So, perimeter of rectangular pole = 256m
and length is 70m and breath is x
Perimeter of rectangular pole = 2×(l+b)
= 256m = 2× (70+ b)
= 256 = 140 + 2b
= 256 - 140 = 2b
= 116 = 2b
= 116/2 = b
= 58 = b
Thus ,breath of rectangular pole is 58m
= Area of square = (side )² = 64×64 = 4096m²
= Area of rectangular pole = l×b = 70×58 = 4060m²
The square have a great area than rectangular pole by (4096- 4060 )= 36m²
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