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Solving a Quadratic Equation by Factorization Method

If the length...

Question

If the length of the rectangle is one more than the twice its width, and the area of the rectangle is 300 square meter. What is the measure of the width of the rectangle?

A

24

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B

25

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C

-25

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D

12

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Solution

The correct option is D
12

Area = (2+ 1). m² = (2x² + ) m²

⇒2²+ = 300

⇒ 2² + – 300 = 0

⇒2² + 25– 300 = 0

⇒(x – 12) (2x + 25) =0

x= 12

(Because x can not be negative)

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