Question

A picture measuring 2 inches by 3 inches is placed inside a frame. The width between the picture and the frame is equal around the entire picture. If the area of the frame and the picture is 72 square inches, what is the width of the frame? (This is my last question for my homework, so quick help would be appreciated :D).

Answer 1

Answer:

3 inches

Step-by-step explanation:

(2 + 2x)(3 + 2x) = 72

4x² + 4x + 6x + 6 - 72 = 0

4x² + 10x - 66 = 0

2x² + 5x - 33 = 0

Using quadratic formula:

x = (-5-17)/4, (-5+17)/4

x = 12/4 = 3

Answer 2

Answer:

3 INCHES

Step-by-step explanation:

Answer:

3 inches

Step-by-step explanation:

(2 + 2x)(3 + 2x) = 72

4x² + 4x + 6x + 6 - 72 = 0

4x² + 10x - 66 = 0

2x² + 5x - 33 = 0

Using quadratic formula:

x = (-5-17)/4, (-5+17)/4

x = 12/4 = 3