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Jason has 70 feet of fencing. He wants to make a rectangular

enclosure with a length that is 5 ft longer than the width. What
are the dimensions of the enclosure?

1 Answer

2 votes

Answer:

  • length: 20 ft
  • width: 15 ft

Explanation:

You want the dimensions of a rectangular enclosure that is 5 ft longer than wide, with a perimeter of 70 ft.

Setup

Let w represent the width of the enclosure. Then (w+5) is its length, and its perimeter is ...

P = 2(L+W)

70 = 2((w+5) +w)

Solution

Subtract 10 to get ...

60 = 4w

15 = w . . . . . . . divide by 4

w+5 = 15 +5 = 20

The length of the enclosure is 20 ft.; its width is 15 ft.

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User Ruban
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