Question

Please help me with this question.

Answer 1

Answer:

a. 1.5 inches wide.

Step-by-step explanation:

If the width of the frame is x the length of the picture + frame = 2x + 12 and the width is 2x + 9 , so we have the following equation:

The total area = (2x + 9)(2x + 12) = 180

4x^2 + 24x + 18x + 108 = 180

4x^2 + 42x - 72 = 0

2(2x^2 + 21x - 36) = 0

2 (2x - 3 )(x + 12) = 0

x = 1.5 , -12  (we ignore the negative root).

Answer 2

The correct answer is “a”