Afarmer builds a rectangular pen with a perimeter of 116-feet. if the length is 5 feet more than the width, what is the width

The length would be 31.5ft and the width would be 26.5ft

Step-by-step explanation:

For the purpose of this, we'll set the width as x. We can then define the length as x + 5 since we know it is 5 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

P = 2l + 2w

116 = 2(x + 5) + 2(x)

116 = 2x + 10 + 2x

116 = 4x + 10

106 = 4x

26.5 = x

Now since we know that the width is 26.5ft, we can add 5ft to it to get the length, which would be 31.5ft.

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