Question 570089
I think you have the right idea, let's do it this way
Write an equation for each statement:
:
"The perimeter of a rectangle is 36m."
2L + 2W = 36
:
"The length is 2m more than three times the width."
L = 3W + 2
:
Replace L in the 2st equation with (3W+2); resulting in
2(3W+2) + 2W = 36
6W + 4 + 2W = 36: this is essentially what you did, just combine like terms, find W
8W = 36 - 4
8W = 32
W = 32/8
W = 4 m is the width
the
L = 3(4) + 2
L = 14 m is the length
;
:
Check our solutions by finding the perimeter with these values
2(14) + 2(4) =
28 + 8 = 36