SOLUTION: the perimeter of a rectangle is 24. The length of the rectangle is eight less than three times the width. find the dimensions of the rectangle
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Question 418579: the perimeter of a rectangle is 24. The length of the rectangle is eight less than three times the width. find the dimensions of the rectangle
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"the perimeter of a rectangle is 24. The length of the rectangle is eight less than three times the width. find the dimensions of the rectangle"
x = width
3x - 8 = length {length is 8 less than three times width}
Perimeter of a rectangle = (2 x width) + (2 x length)
2x + 2(3x - 8) = 24 {perimeter is (2 x width) + (2 x length)}
2x + 6x - 16 = 24 {used distributive property}
8x - 16 = 24 {combined like terms}
8x = 40 {added 16 to both sides}
x = 5 {divided both sides by 8}
3x - 8 = 7 {substituted 5, in for x, into 3x - 8}
width = 5 and length = 7
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