The perimeter of a rectangle is 80 feet, and it's length is 5 feet less than twice its width. Find the length and width.

x = width

2x - 5 = length {length is five feet less than twice its width}

2(x) + 2(2x - 5) = 80 {two times length + 2 times width = perimeter}

2x + 4x - 10 = 80 {used distributive property}

6x - 10 = 80 {combined like terms}

6x = 90 {added 10 to both sides}

x = 15 {divided both sides by 6}

2x - 5 = 25 {substituted 15 in, for x, into 2x - 5}

**width = 15 feet
**

length = 25 feet

*- Algebra House*
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