SOLUTION: use let statements. Show All work and All steps. The diagonal of a picture frame is 13 inches. If the length of the frame is 7 inches greater than it's width, find the dimension

Question 966128: use let statements. Show All work and All steps.
The diagonal of a picture frame is 13 inches. If the length of the frame is 7 inches greater than it's width, find the dimensions of the frame.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Let:
W=width; L=length=W+7in; D=diagonal
The diagonal of a rectangle forms the hypotenuse of a right triangle with the length and width as legs, so:
.
Substitute for L

Subtract 169in^2 from each side.
Divide each side by 2.

ANSWER 1: The width of the frame is 5 inches.
.
L=W+7in=5in+7in=12in
ANSWER 2: The length of the frame is 12 inches.
.
CHECK:

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