Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 7 feet more than 2 times the width. He needs 44 feet of fencing to do the job.
What is the length and width of the garden?
start out with the length equaling 2x+7 and the width equaling x
times each by 2 and add together to get 44
2(2x+7) + 2x=44
simplify
4x+14+2x=44
6x+14=44
6x=30
x=5
2(5)+7
10+7
17
the width is 5 and the length is 17
Reply:Perimeter = 2L + 2W
The perimeter is 44 feet. The length is 2W+7 (7 feet more than two times the width).
Thus:
44 = 2(2W+7) + 2W
44 = 4W + 14 + 2W
44 = 6W + 14
30 = 6W
5 = W
If the width is 5 feet, then the length is (2)(5) + 7 = 17 feet
Reply:2x+4x+14=44
2x+4x=30
6x=30
x=5
Width=5
Length=17
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