Question

The length of a rectangle is six times the width. The perimeter of the rectangle is 28 inches. What is the area of the rectangle (in square inches)? 

          The length of a rectangle is six times the width. The perimeter of the rectangle is 28 inches. What is the area of the rectangle (in square inches)?

Added by Carl A.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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The length of a rectangle is six times the width. The perimeter of the rectangle is 28 inches. What is the area of the rectangle (in square inches)?
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Transcript

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00:01 This problem says the length of a rectangle is 6 times the width and the perimeter of the rectangle is 28 inches.
00:05 What is the area of the rectangle and square inches? so what we're going to do, since we're told that the length of the rectangle is 6 times the width, that's defining the length in terms of the width.
00:17 So we'll say width is our unknown x value.
00:20 And if we know the length is 6 times the width, that means the length has to be 6 times x.
00:24 And since we're given the perimeter, we know the formula for perimeter is 2 times the length plus 2.
00:30 Two times the width.
00:31 So we can substitute in our expressions for x or that are defined with x for length and width to solve for the length and width, and then we can use that to find the area...
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