Question

a rectangle has a length of 8 m and a width of 4.5 m. a parallelogram has a length of 6 m. the area of parallelogram is twice the area of the rectangle

Answer 1

Let the height of the parallelogram be h. Then the area of the rectangle is:

A(rectangle) = length x width = 8 m x 4.5 m = 36 m^2

And the area of the parallelogram is:

A(parallelogram) = base x height = 6 m x h = 6h m^2

We are given that:

A(parallelogram) = 2 A(rectangle)

6h = 2(36)

6h = 72

h = 12

Therefore, the height of the parallelogram is 12 meters.

So, the area of the parallelogram is:

A(parallelogram) = base x height = 6 m x 12 m = 72 m^2

Hence, the area of the parallelogram is twice the area of the rectangle, as required.