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A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?

A. \( w + 5 = 116 \)
B. \( 4w + 10 = 116 \)
C. \( 2w + 5 = 116 \)
D. \( 2w + 10 = 116 \)

Answer :

Answer:

The answer is B. 4W+10=116

Step-by-step explanation:

In order to determine the width, we have to define both variables: width and length.

L=length of the rectangular pen.

W=width of the rectangular pen.

We know that length is 5 feet more than the width, so:

L=W+5

Also we know that the perimeter of a rectangle is:

P=2L+2W

Then, we want to solve for width variable. We replace the value of the perimeter and the expression of L in function of W.

P=116

2L+2W=116

2(W+5)+2W=116

2W+10+2W=116

4W+10=116

Finally, the correct option is B. 4W+10=116

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Rewritten by : Barada

Its B i had that question on my test.