SOLUTION: The length of a rectangle is 7 inches more than three times the width. The perimeter is 94 inches. Find the length and width

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Question 450452: The length of a rectangle is 7 inches more than three times the width. The perimeter is 94 inches. Find the length and width
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"The length of a rectangle is 7 inches more than three times the width. The perimeter is 94 inches. Find the length and width"

x = width
3x + 7 = length {length is 7 more than 3 times width}

Perimeter of a rectangle = 2(width) + 2(length)

2x + 2(3x + 7) = 94 {perimeter is 2 x width + 2 x length}
2x + 6x + 14 = 94 {used distributive property}
8x + 14 = 94 {combined like terms}
8x = 80 {subtracted 14 from both sides}
x = 10 {divided both sides by 8}
3x + 7 = 37 {substituted 10, in for x, into 3x + 7}

width = 10 in.
length = 37 in.
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