SOLUTION: The perimeter of a rectangle is 180 feet. Find the length and width if the length is 10more than the width. Show the first two steps, step one is just choosing a variable and rep

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 180 feet. Find the length and width if the length is 10more than the width. Show the first two steps, step one is just choosing a variable and rep      Log On


   

Question 977499: The perimeter of a rectangle is 180 feet. Find the length and width if the length is 10more than the width. Show the first two steps, step one is just choosing a variable and represent both length and width in terms of that one variable. In step two substitute those values from step one into the formula for perimeter.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is p feet. Find the length L and width w if the length is k more than the width. Show the first two steps, step one is just choosing a variable and represent both length and width in terms of that one variable. In step two substitute those values from step one into the formula for perimeter.

system%28L=k%2Bw%2C2w%2B2L=p%29
;
k=10
p=180

Simple substitution: 2w%2B2%28w%2Bk%29=p;
2w%2B2w%2B2k=p
4w=p-2k
highlight%28w=%28p-2k%29%2F4%29

Now you can substitute the given values for p and k to evaluate w. Use this found value to evaluate L.