Problema Solution

The length of a rectangular garden is 10 feet longer than its width. The garden's perimeter is 212 feet. Find the length of the garden.

Answer provided by our tutors

let


l = the length of the rectangle

w = the width of the rectangle


the length of a rectangular garden is 10 feet longer than its width


l = 10 + w


perimeter is 212 feet


2(l + w) = 212 divide both sides by 2


l + w = 106


w = 106 - l


plug w = 106 - l into l = 10 + w


l = 10 + 106 - l


by solving we find


l = 58 ft


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