Question #153643

A garden plot is to contain 128 sq. ft. If its length is to be twice its width, what should its dimensions be?



1
Expert's answer
2021-01-04T20:11:39-0500

It is given that garden plot is to contain 128128 sq.ft .

Therefore area of the garden plot is 128128 sq.ft.

According to the problem length of the garden plot is twice its width.

Let width of the garden plot is ll ft.

Then length of the garden plot will be 2l2l ft.

Therefore area of the garden plot is

=2l×l= 2l×l sq.ft.

=2l2=2l^2 sq.ft.

According to the problem,

2l2=1282l^2=128

    l2=64\implies l^2=64

    l=64\implies l=\sqrt{64}

    l=8\implies l=8

So width of the garden plot is =8= 8 ft.

Therefore length of the garden plot is =16=16 ft.

Therefore dimensions of the garden plot is 1616 ft. by 88 ft.




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