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Mathematics

Grade10

Easy

Question

A rectangle has an area of x²+ 7x + 12 inches ². Find the possible dimensions of the rectangle.

(x + 4) in. by (x + 8) in.
(x + 1) in. by (x + 11) in.
(x + 3) in. by (x + 4) in.
(x + 2) in. by (x + 6) in.

The correct answer is: (x + 3) in. by (x + 4) in.

Factors of 12 are 3 and 4.
And, 3 + 4 = 7
So, x²+ 7x + 12 = (x + 3) (x + 4)
The dimensions of the rectangle are x + 3 inches by x + 4 inches.

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