SOLUTION: Find the dimensions of a rectangular picture frame if the perimeter of the frame is 14 inches and the area of the frame is 12 square inches. You must write and solve the equations.

Algebra ->  Rectangles -> SOLUTION: Find the dimensions of a rectangular picture frame if the perimeter of the frame is 14 inches and the area of the frame is 12 square inches. You must write and solve the equations.      Log On


   

Question 274490: Find the dimensions of a rectangular picture frame if the perimeter of the frame is 14 inches and the area of the frame is 12 square inches. You must write and solve the equations.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
2L + 2W = 14 ___ L + W = 7 ___ L = 7 - W

L * W = 12

substituting ___ (7 - W) W = 12 ___ 7W - W^2 = 12 ___ 0 = W^2 - 7W + 12

factoring ___ 0 = (W - 4) (W - 3)

W - 4 = 0 ___ W = 4

W - 3 = 0 ___ W = 3

W is less than L, so the smaller value is correct

substituting ___ L (3) = 12 ___ L = 4