SOLUTION: A rectangular sign must have an area of 22 square yards. Its length must be 4 yards more than its width. Find the dimensions of the sign.

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Question 240948: A rectangular sign must have an area of 22 square yards. Its length must be 4 yards more than its width. Find the dimensions of the sign.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the width. Then is the length.

Since the area is the length times the width:



Solve for . Then add 4 to get the length. Exclude the negative root. This quadratic does not factor over the rationals, so you will need to use the quadratic formula. If you are actually building a sign, then use your calculator to find a numeric approximation that will suit your tolerances. Otherwise, simplify the radical and leave it in radical form for the exact answer.

John