Question

The base of a parallelogram is (2x + 3 units) and the corresponding height is (2x – 3 units). Find the area of the parallelogram in terms of x. What will be the area of parallelogram of x = 30 units?

Answer 1

We have, the base and the corresponding height of a parallelogram are (2x + 3) units and (2x – 3) units, respectively.

∵ Area of a parallelogram = Base × Height

= (2x + 3) × (2x – 3)

= (2x)² – (3)²  ...[∵ (a + b)(a – b) = a² – b²]

= (4x² – 9) sq.units

Now, If x = 30.

Then, the area of the parallelogram = 4 × (30)² – 9

= 3600 – 9

= 3591 sq.units