SOLUTION: The perimeter of a rectangular garden is 40 ft. The width is 2 ft more than one half the length. Find the length and width.

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Question 237390: The perimeter of a rectangular garden is 40 ft. The width is 2 ft more than one half the length. Find the length and width.
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
The Perimeter of a triangle is the sum of its 4 sides. You can express it as: P=L%2BL%2BW%2BW ...or... P=2L%2B2W
The problems tells us the width is 2ft more than half the lenght, therefore:
W=1%2F2L%2B2
Now you can use the perimeter equation, but instead of using L and W, we will use L and the equivalency of W. This will help us figure out the value of L.
Since P=40 (given)
40=2L%2B2%281%2F2L%2B2%29
When you multiply 2 by 1/2L, the fraction dissapears, but remember to also multiply it by the next digit, which happens to also be 2. Thus...
40=2L%2BL%2B4
40-4=3L
L=36%2F3
L=12
Now figure out W:
Since W=1%2F2L%2B2%29
W=%281%2F2%29%2812%29%2B2
W=6%2B2
W=8