the area of a parallelogram and a square are the same if the perimeter of the square is 160 m and the height of the parallelogram is 20 m find the length of the corresponding base of the parallelogram
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the area of a parallelogram and a square are the same if the perimeter of the square is 160 m and the height of the parallelogram is 20 m find the length of the corresponding base of the parallelogram
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Answer:
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.
Explanation:
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Verified answer
To Find :
Given that,
Solution :
We know that,
Perimeter = 4 × side
Therefore, the of the perimeter
» 4 × Side = 160
» Side = 160/4
» Side = 40m
∴ Side of the square is 40m
Now, let's find out, the area of square
We know that,
Area of square = Side × Side
We got, side as 40m , therefore
» Area = 40 × 40
» Area = 1600m²
∴ Area of square is 1600m²
As given that,
Area of parallelogram = Area of square
∴ Area of parallelogram = 1600m²
Now, let's find the length of the corresponding base of parallelogram,
As we know that,
Base of parallelogram = Area / Height
Therefore,
» Base = 1600 / 20
» Base = 80m
∴ The lenght of the corresponding base of parallelogram is 80m.