Question

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A rectangle has dimensions 2x – 12 by 3x + 9 and area 60 cm². What are the actual
dimensions of the rectangle?

Answer 1

2 x 30 cm

Explanation:

L x W = 60

(2x-12)(3x+9) = 60

6x^2 -18x-168=0

use quadratic fromula to find x = 7 or -4 (throw out)

the sides then become ( using 7)

2 and 30 cm