Posted by BARBARA on Wednesday, April 25, 2012 at 9:55pm.
What is the shape of the sign?
Assuming the sign is rectangular, your initial formula is
P = 2L + 2W
You know the perimeter is 78 inches so replace P with 78.
78 = 2L + 2W
You know that the length is 7 inches longer than the width.
78 = 2(W + 7) + 2W
Simplify.
78 = 2W + 14 +2W
78 = 4W + 14
Solve for W, the width.
64 = 4W
16 = W
Add 7 to find the length.
16 + 7 = L
23 = L
The length is 23 inches. The width is 16 inches.
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