SOLUTION: A carpenter is constructing a frame for a rectangular picture. If the sides of the picture have a ratio of 4:3 and the shorter side is 42cm long, how much framing material does the

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Question 905773: A carpenter is constructing a frame for a rectangular picture. If the sides of the picture have a ratio of 4:3 and the shorter side is 42cm long, how much framing material does the carpenter need to complete the frame? ( answer is 196cm show your solution )
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio is LONGER:SHORTER, and you have y:42 and want to find y.

4%2F3=y%2F42
Multiply both members by 42.
%284%2F3%29%2A42=%28y%2F42%29%2A42
4%2A42%2F3=y
y=4%2A21%2A2%2F3
y=4%2A7%2A2
highlight%28y=56%29

How much framing material?
The carpenter uses FOUR sides to make this rectangular frame.
Two sides are 42 cm and two sides are 56 cm.
The distance around the frame, corresponding to the amount of framing material, is 42%2B42%2B56%2B56.