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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?
Solution
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
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