The length of a rectangle is 5cm. greater than its width. The perimeter is 58 cm. Find the dimensions of the rectangle.

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asked May 17, 2015 142k views

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The length of a rectangle is 5cm. greater than its width. The perimeter is 58 cm. Find the dimensions of the rectangle.

Mathematics
high-school

Maria Piaredryj asked

by Maria Piaredryj

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2 Answers

3 votes

hey i believe that you have to multiply those to numbers

Ignat answered May 20, 2015

by Ignat

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5 votes

$w-the\ width\\l=w+5-the\ length\\\\\\The\ perimeter\ of\ rectangle:P=58cm\\\\P=2w+2l\\\\2w+2(w+5)=58\\2w+2w+10=58\\4w+10=58\ \ \ \ |subtract\ 10\ from\ both\ sides\\4w=48\ \ \ \ \ |divide\ both\ sides\ by\ 4\\w=12\ (cm)\\\\l=12+5=17\ (cm)\\\\Answer:The\ dimensions\ of\ the\ rectangle:17cm*12cm$