the area of a parallelogram and a square are the same if the perimeter of the square is 100 and height of the parallelogram is 15 find the length of the corresponding base of the parallelogram
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Step-by-step explanation:
Given area of square and parallelogram are some.
Area of square =S×S
perimeter of square =4×S
160m=4×S
⇒
4
160
=S
∴S=40cm
Area =40×40=1600m
2
∴ Area of square =1600m
2
∴ Area of parallelogram=Base×height
1600=B×20
20
1600
=B
B=80
∴ corresponding base of the parallelogram is 80m.
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