A square and a parallelogram have the same area. If a side of the square is 40m and the height of the parallelogram is 20m, find the length of the corresponding base of the parallelogram.
Area of square= Area of paralellogram,so 40(40)=20(B),1600=20B,B=1600/20,B=80m
Given side of a square=40m
And height of a parallelogram=20m
Area of a square=area of a parallelogram.
Side×side=base×height
40×40=base×20
40×40 by 2=base
80m=base
Therefore base of a parallelogram=80m
Given side of a square=40m
And height of a parallelogram=20m
Area of a square=area of a parallelogram.
Side×side=base×height
40×40=base×20
40×40 by 2=base
80m=base
Therefore base of a parallelogram=80m.
To find the length of the corresponding base of the parallelogram, we can use the formula for the area of a square and the formula for the area of a parallelogram.
The area of a square is found by squaring the length of one of its sides. In this case, the side length of the square is 40m. So, the area of the square is 40m × 40m = 1600m^2.
The area of a parallelogram is found by multiplying the base length by the height. In this case, the height of the parallelogram is given as 20m, but we need to find the length of the corresponding base. Let's call the length of the base of the parallelogram "x".
Since the square and the parallelogram have the same area, we can equate the areas:
1600m^2 = x × 20m
To solve for x, we divide both sides of the equation by 20m:
x = 1600m^2 / 20m = 80m
Therefore, the length of the corresponding base of the parallelogram is 80m.