# SOLUTION: the length of a retangle is 4 feet less than 3 times its width. the perimeter is 16 feet. what is its length.

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 Click here to see ALL problems on Rectangles Question 235041: the length of a retangle is 4 feet less than 3 times its width. the perimeter is 16 feet. what is its length.Answer by Rent-A-Whiz(1)   (Show Source): You can put this solution on YOUR website!Good Afternoon, In response to your question: “the length of a rectangle is 4 feet less than 3 times its width. the perimeter is 16 feet. what is its length.” Step one: Write the sentence in equation form. Lets call the width W and the length L If it’s easier translate one part of the sentence at a time starting with the multiplication first. So the first sentence now reads: “The length of a rectangle is 4 feet less than 3W.” Now translate the rest: L=3W-4 For the second sentence you need the formula for the perimeter W+L=perimeter= 16 feet. Now there are 2 equations with two unknowns: L=3W-4 (1) 2(W+L)=16 (2) Substitute for L in equation (2): W + (3W-4) =16, Which simplifies to: W=3 Substitute for this value of W in either equation (1) or (2). If I put it in equation (1) I get: L=3(3) -4=5 Check results: Substitute for L=5 and W=4 into equation (2) for the perimeter: 2(3+5)=16 Since the left-hand-side is equal to the right-hand-side this is the correct answer. Good Luck, Selma from Rent-A-Whiz. A new online tutoring and homework help resource. For more details visit us at www.rentawhiz.com.