Question

The height of a parallelogram is 5 feet The base is 7 feet the length is 9 1/2 feet what is the area of the parallelogram

Answer 1

[10 ft.]

Explanation:

It's being given that there is a paralleolgram.

Let the length of its base is x ft.

Therefore, length of height = (x+6) ft.

Also, area of paralleolgram = 160 sq.

ft.

Now, we know that,

Area of paralleolgram = base x height

Therefore, we will get,

=> x(x+6) = 160

=> x² + 6x - 160 = 0

=> x² + 16x - 10x - 160 = 0

=> x(x+16) - 10(x+16)=0

=> (x+16) (x - 10) = 0

=> x +16=0 or X- - 10-0

=> x=-16

or

X = 10

But, we know that, length can't ever be negative.

Therefore, x = 10

Hence, length of base = 10 ft.