The length of a rectangular garden is 3 yd more than twice its width. The perimeter of the garden is 30 yd What are the width and length of the garden?

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Answer 1 · 2016-11-04T10:57:43

The width of the rectangular garden is 4yd and the length is 11yd.

For this problem let's call the width #w#. Then the length which is "3 yd more than twice its width" would be #(2w + 3)#.

The formula for the perimeter of a rectangle is: #p = 2w *+ 2l#

Substituting the information provided gives:

#30 = 2w + 2(2w + 3)#

Expanding what is in parenthesis, combining like terms and then solving for #w# while keeping the equation balanced gives:

#30 = 2w + 4w + 6#

#30 = 6w + 6#

#30 - 6 = 6w + 6 - 6#

#24 = 6w#

#24/6 = (6w)/6#

#w = 4#

Substituting the value of #w# into the relationship for length gives:

#l = (2*4) + 3#

#l = 8 + 3#

#l = 11#