Question

Casey was building a rectangular pen for his pigs. He has 62 feet of fencing. The length of his pen is 9 feet longer than the width. Write and solve an equation to find the dimensions of the pen.


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Answer 1

The width and the length of the rectangular pen will be equal to w=11 feet and the length=20 feet.

What is the perimeter?

The perimeter is defined as the sum of all the sides of the figure. In a rectangle, it is the sum of all the sides of the rectangle.

For this problem, we need to find what perimeter is equal to 62 feet. To find the perimeter of a rectangle we do:

P=2w+2l

where p = perimeter, w = width, and l = length

This problem says that the length is 9 feet longer than the width, so the length would be:

w+9

Now we know what the perimeter and length is, so we can put those into the equation above. This is what it will look like:

62=2w+2(w+9)

and that will solve like so:

62=2w+2w+18

62=4w+18

44=4w

w=11

Now that we know the width we can plug it into our first equation to find the length:

62=(2(11)+2l

62=22+2l

40=2l

l=20

Your width is 11 feet and your length is 20 feet.

hence the width and the length of the rectangular pen will be equal to w=11 feet and the length=20 feet.

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