The perimeter of a rectangle is 42 feet. If the width of the rectangle is 6 feet less than the length, find the demensions of the rectangle.
I'm having trouble setting this up. Help?
Name Stuff!
W = Width of Rectangle
L = Length of Rectangle
Now translate!
"The perimeter of a rectangle is 42 feet." -- Say that in terms of L and W
"the width of the rectangle is 6 feet less than the length" -- Say that in terms of L and W
Seriously... WRITE DOWN clear and concise definitions. They WILL save you.
You are told $\displaystyle \displaystyle w = l - 6$, and you should know that $\displaystyle \displaystyle P = 2l + 2w$ with $\displaystyle \displaystyle P= 42$.
So that means $\displaystyle \displaystyle 2l + 2(l - 6) = 42$. Solve for $\displaystyle \displaystyle l$, then use this to solve for $\displaystyle \displaystyle w$.