The perimeter of a rectangle is 36 ft. The length is 2 less then 3 times the width. What is the Length? what is the Width?

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(1) Answers

M1ha

perimeter is equal to 2 times the length plus 2 times the width
P= 2L + 2 W
L=3W-2 using the substitution in perimeter equation
P = 2(3W-2)+2W=36 , WE SOLVE THIS EQUATION
6W-4 +2W=36
8W=36+4
8W=40
W=40/8=5
W=5
L=3*5-2=15-2=13
P=(2*5)+(2*13)=10+26=36