Question

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden? A. 14 m wide B. 13 m wide C. 12 m wide D. 11 m wide

Answer 1

The answer is 12 m wide.

Explanation:

I just took a quiz that had this question on it and the correct answer was the answer above so that's how I know that 12 m wide is the right answer.

Answer 2

( 9 + x ) · ( 13 + x ) = 192
117 + 9 x + 13 x + x² = 192
x² + 22 x - 75 = 0
x 1/2 = (-22 +/-√484 + 300) / 2 = ( - 22 + 28 ) /2 ( another solution is negative )
x = 6 / 2 = 3
The width of the new garden : 9 + 3 = 12 m
Answer: C ) 12 m wide.