Angelena123 Angelena123

01-10-2018
Mathematics

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the perimeter of a rectangle is 80 feet. Find the dimensions if the length is 5 feet longer than the width. Write and solve algebraic equation.

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kudzordzifrancis kudzordzifrancis

01-10-2018

The relation between the length and width is
[tex]l = w + 5[/tex]
Perimeter is 80.
[tex]80 = 2w \: + 2l[/tex]
Substitute the expression for l
[tex]80 = 2w + 2(w + 5)[/tex]

[tex]80 = 2w + 2w + 10[/tex]
[tex]70 = 4w[/tex]

[tex]w = 17.5 \: units[/tex]
[tex]l = 22.5 \: units[/tex]

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