the area of parellogram and a square are same .if the perimeter of the square is 160 m and the height of the parellogram is 20m .find the lenght of the corresponding base of the parellogram
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area of square =area of parallelogram and perimeter of the square =160m. perimeter =4*side. 160=4*side. so 160/4=side. hence side =40. area of square=side*side. so. area of square =40*40=1600sqm. similarly. area of parallelogram =1600sq m. henceforth area of parallelogram =base*height. 1600=base*20 therefore. base! 80m
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=> Perimeter of square = 160m
4 × side = 160
side = 40m
Given that,
=> Area of parallelogram = Area of square
base × height = side × side
base × 20 = 40 × 40
base = 1600/20
base = 80 m
The base of //gm is 80m.
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