Question

The base of a parallelogram is (2+3)units and the corresponding height is (2−3)units.Find the area of the parallelogram in terms of .What will be the area of the parallelogram if =units?

Answer 1

In terms of x, the area is given by:
`A = 4x^2 - 9`.

If x = 30 units, the area will be of 3591 units squared.

Explanation:

Area of a parallelogram:

The area of a parallelogram of base b and height h is given by:

`A = bh`

In this question:

We have that
`b = 2x + 3, h = 2x - 3`.

So

`A = (2x + 3)(2x - 3) = 4x^2 - 6x + 6x - 9 = 4x^2 - 9`

In terms of x, the area is given by:
`A = 4x^2 - 9`

If x = 30 units:

`A = 4*30^2 - 9 = 4*900 - 9 = 3600 - 9 = 3591`

If x = 30 units, the area will be of 3591 units squared.