SOLUTION: The diagonal of a picture frame is 13 inches. If the length of the frame is 7 inches greater than its width, find the dimensions of the frame.

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Question 763978: The diagonal of a picture frame is 13 inches. If the length of the frame is 7 inches greater than its width, find the dimensions of the frame.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Width = x
Length = x + 7
Right angled triangle.
Diagonal = Hypotenuse.
x^2 + (x + 7)^2 = 13^2
x^2 + x^2 + 14x + 49 = 169
2x^2 + 14x - 120 = 0
(2x - 10)(x + 12) = 0
x + 12 = 0
x + -12 (no answer)
2x - 10 = 0
2x = 10
x = 5.
So, Width = 5 inches
Length = 12 inches
Hope this helps.
:-)