SOLUTION: The width of a rectangle is 3 meters less than the length. The perimeter is 14 meters. Find the width.
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Question 123943: The width of a rectangle is 3 meters less than the length. The perimeter is 14 meters. Find the width.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the perimeter of a rectangle:
You are given that the width (W) is 3 meters less than the length, L, so W = L-3. You are also given the perimeter, P = 14 meters. Making the appropriate substitutions into the formula, you'll get:
Simplify and solve for L
Combine like-terms.
Add 6 to both sides.
Divide both sides by 4.
The length is 5 meters.
meters.
The width is 2 meters.
Check:
meters.
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