SOLUTION: Half the perimeter of a garden is 18 feet. The garden is 8 feet longer than it is wide. If W= the width in feet and I= the length in feet, which system must be true? a.) 1/2(l+w

Question 7063: Half the perimeter of a garden is 18 feet. The garden is 8 feet longer than it is wide. If W= the width in feet and I= the length in feet, which system must be true?
a.) 1/2(l+w)=18
l=w+8
b.) 1/2(l+w)=18
w=l+8
c.) l+w=8
l-w=18
d.) l-w=8
l+w=18
This question is extremely confusing, so would you mind helping me with it? Thanks!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Recall that the perimeter of a rectangle (we are assuming a rectangular-shaped garden) is 2(l + w), so half the perimeter would be just (l + w). You are told that half the perimeter is 18 feet, so (l + w) = 18.
Well, this eliminates all the choices except d.)
But to show the rest of it, you are also told that the garden is 8 feet longer than the width, or l = w + 8. Rewriting this, you get: l - w = 8.
So answer d) l-w=8 and l+w=18 would be your choice.
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