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The length of a rectangle is twice

the width. If the perimeter of the
rectangle is 60 units, find the area
of the garden.

User Chankruze
by
5.2k points

1 Answer

2 votes

Answer:

Explanation:

The permiter of a rectangle got be determined by the following equation:

P = 2L + 2W

where P is the perimeter, L is the length of the rectangle, and W is the width of the rectangle.

From the problem statement, we know that P = 60, and that the length is twice the width, so we have the following two equations:

60 = 2L + 2W

L = 2W

If we substitute the second equation into the first, we have the following:

60 = 2(2W) + 2W

60 = 4W + 2W

60 = 6W

10 = W

Plugging this value back into the second equation, we have the following:

L = 2W

L = 2(10)

L = 20

The area of a rectangle is determined by the following:

A = LW

where A is the area.

Plugging in the values that we determined previously we give you the answer.

User Matthew Wesly
by
5.4k points