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Question
The base of a parallelogram is (5x + 4). Find its height if the area is 25x2 – 16
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Solution
Let the height of the parallelogram be “h”
Base of the parallelogram = 5x + 4
Area of a parallelogram = 25x2 – 16
∴ Base × Height = 25x2 – 16
(5x + 4) × h = 25x2 – 16
h = `(25x^2 - 16)/(5x + 4)`
h = `((5x)^2 - 4^2)/(5x + 4)`
= `((5x + 4)(5x - 4))/(5x + 4)`
Height of the parallelogram = 5x – 4
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