Question 516171
x = width
x + 5 = length {length is 5 more than width}
9x = perimeter {perimeter is nine times width}


Perimeter of a rectangle is 2(width) + 2(length}


2x + 2(x + 5) = 9x {perimeter is 2(width) + 2(length)}
2x + 2x + 10 = 9x {used distributive property}
4x + 10 = 9x {combined like terms}
10 = 5x {subtracted 4x from both sides}
x = 2 {divided both sides by 5}
x + 5 = 7 {substituted 2, in for x, into x + 5}


width = 2
length = 7
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