A man wants to enclose a rectangular garden adjacent to a river. The length of the rectangle is two times the width. How many linear feet of fence must he buy if he does not need fencing along the river and the perimeter of the rectangle is 240 feet?

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Answer

200, 160

Step-by-step explanation:

if the perimeter is 240 it means sides are 40 by 80.

if he does not need to place fencing on one side, they remove one 80 or 40,

40+80+80=160 or 40+40+80=200

Boom Answer!

The two possible amount of linear feet of fence that would be required are for the rectangular garden are: 200 ft or 160 ft.

What is the Perimeter of a Rectangle?

Perimeter of a rectangle = 2(length + width).

Given the following rectangle dimensions:

  • Perimeter = 240 ft
  • Width = x
  • Length = 2x

Find x using the perimeter formula:

240 = 2(2x + x)

240 = 6x

240/6 = x

40 = x

x = 40

Width = x = 40

Length = 2x = 2(40) = 80

If one side would not be covered, the two possible amount of linear feet of fence that would be required are for the rectangular garden are:

L + L + W = 80 + 80 + 40 = 200 ft

or

L + W + W = 80 + 40 + 40 = 160 ft.

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