A frame that measures 8 inches by 11 inches is of uniform width. The area of the picture inside is 28 square inches. What is the width of the frame?

Answer 1

8x11-24=64

22w+2(8-2w)w=64

4w^2 -38w+64=0

2w^2-19w +32=0

w=19/4 - (1/4)sqr(19^2-256)

=about (19-10.25)/4=8.75/4

w= 2.29 inch frame width