SOLUTION: The perimeter of a rectangle is 38 inches. If the length of the rectangle is three inches more than three times the width, find the dimensions.

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Question 272867: The perimeter of a rectangle is 38 inches. If the length of the rectangle is three inches more than three times the width, find the dimensions.
Found 2 solutions by checkley77, JBarnum:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=3W+3
2L+2W=38
2(3W+3)+2W=38
6W+6+2W=38
8W=38-6
8W=32
W=32/8
W=4 ANS. FOR THE WIDTH.
L=3*4+3=12+3=15 ANS. FOR THE LENGTH.
PROOF:
2*15+2*4=38
30+8=38
38=38

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
perimeter is P=2L%2B2W where P=38
if L=3%2B3W (length is three morethan three times width)
then simply use substitution
P=2L%2B2W
38=2L%2B2W
38=2%283%2B3W%29%2B2W solve for W
38=6%2B6W%2B2W add
38=6%2B8W subtract
32=8W divide
4=W
___________
L=3%2B3W substitute
L=3%2B3%284%29 multiply
L=3%2B12 add
L=15
___________
Check
P=2L%2B2W substitute
38=2%2815%29%2B2%284%29 multiply
38=30%2B8 add
38=38
Correct