SOLUTION: A rectangle has an area of 75 square inches. The length of the rectangle is three times as long as the width of the rectangle. Find the dimensions of the rectangle?
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Question 816093: A rectangle has an area of 75 square inches. The length of the rectangle is three times as long as the width of the rectangle. Find the dimensions of the rectangle?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = width
3x = length {the length is 3 times the width}
Area of a rectangle = width x length
x(3x) = 75 {substituted width, length, and area into area formula}
3x² = 75 {multiplied}
x² = 25 {divided each side by 3}
x = 5 {took square root of each side}
3x = 15 {substituted 5, in for x, into 3x}
width = 5 inches
length = 15 inches
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