Problem: A painting 18′′×24′′ is to be placed into a wooden frame with the longer dimension vertical. The wood at the top and bottom is twice as wide as the wood on the sides. If the frame area equals that of the painting itself, the ratio of the smaller to the larger dimension of the framed painting is:
Answer Choices:
A. 1:3
B. 1:2
C. 2:3
D. 3:4
E. 1:1
Solution:
(24+4x)(18+2x)=2(24×18)
∴x2+15x−54=0,x=3
∴24+4x=36,18+2x=24,24:36=2:3
