Tejas A.

asked • 01/28/21

The perimeter of a rectangular garden is 68 feet. The length of the garden is 4 more than twice the width. What is the width of the garden?

The perimeter of a rectangular garden is 68 feet. The length of the garden is 4 more than twice the width. What is the width of the garden?

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Virginia C. answered • 01/28/21

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Got to set it up based on the facts.


perimeter of rectangle = 2 * length + 2 * width = 68


length = 4 * width


Substitute the length into the first equation and solve for width.


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Tristin S.

I think you may have misread the question. The length is 4 more than twice the width, so the length would be 2*width + 4, not 4*length.
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01/28/21

Virginia C.

Sorry Tristin. I did miss that. Thanks for the catch.
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01/28/21

Virginia C.

Hope student caught your correction and can adjust to it.
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01/28/21

Tejas A.

thank you so much!
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01/28/21

Tristin S. answered • 01/28/21

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Let's call the shorter side length x. Then the longer side length, which is 4 more than twice the width has side length 2x+4. The perimeter of the rectangle is 2*width + 2*length, so the perimeter must be 2*x+2*(2x+4) = 2x+4x+8 = 6x+8 = 68. This implies that 6x = 60, or x = 10.

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