Michael A. answered • 05/14/17

Tutor

5.0
(1,030)
AFOQT/ASVAB/Accuplacer/TEAS/HESI/SAT/Algebra/Calc I Expert

The current area of the garden is 6 x 4 = 24 yd². Doubling the area would result in an area of 48 yd². If he is going to increase each side by the same amount, let's call that amount x. We have the following equation:

(6 + x)(4 + x) = 48

24 + 10x + x² = 48

x² + 10x - 24 = 0

(x - 2)(x + 12) = 0

The only logical solution is x = 2 since dimensions cannot be negative. Therefore, each dimension must be increased by 2 yd. If we do, we see that the new dimensions of the garden will be 8 x 6 = 48 yd², which is double the original area of the garden.

Michael A.

tutor

Duly noted. Thank you, Andrew M.

Report

05/15/17

Andrew M.

05/15/17