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If the area of a rectangle be (x2 + 7x + 10) sq. cm, then one of the possible perimeter of it is
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- (4x + 14) cm
- (2x + 14) cm
- (x + 14) cm
- (2x + 7) cm
- (4x + 14) cm
Correct Option: A
x² + 7x + 10
= x² + 5x + 2x + 10
= x (x + 5) + 2 (x + 5) = (x + 2) (x + 5)
∴ Possible perimeter = 2 (x + 2 + x + 5)
= 2 (2x + 7) = (4x + 14) cm
