SOLUTION: b) Length of a rectangle is 3 more than its width. The perimeter of the rectangle is 30. Find the length and width.
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-> SOLUTION: b) Length of a rectangle is 3 more than its width. The perimeter of the rectangle is 30. Find the length and width.
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x = width
x + 3 = length {length is 3 more than width}
Perimeter of a rectangle = 2(width) + 2(length}
2x + 2(x + 3) = 30 {perimeter is 2(width) + 2(length)}
2x + 2x + 6 = 30 {used distributive property}
4x + 6 = 30 {combined like terms}
4x = 24 {subtracted 6 from both sides}
x = 6 {divided both sides by 4}
x + 3 = 9 {substituted 6, in for x, into x + 3}
