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vFind the perimeter of a rectangle that has an area of 98 square centimeters and has a length that is double its width.

          vFind the perimeter of a rectangle that has an area of 98 square centimeters and has a length that is double its width.
        

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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vFind the perimeter of a rectangle that has an area of 98 square centimeters and has a length that is double its width.
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Transcript

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00:01 In this problem, it is said that the length of a rectangle is 4 more than double the width.
00:06 The perimeter is given to be 98 inches.
00:08 We need to find the dimensions of the rectangle.
00:11 So we have the length and the width.
00:13 So the width is w, w inches.
00:17 And the length is 4 more than double the width.
00:20 So 4 more than double the width.
00:23 4 plus 2 w inches.
00:25 This will be the length.
00:27 We have been given the perimeter.
00:29 The perimeter is given to be 98 inches.
00:31 Now what is the formula for the perimeter of a rectangle? we have 2 times l plus w.
00:38 So this is equal to 98.
00:40 So if we divide both sides of the equation by 2, we have that l plus w is equal to 98 over 2.
00:47 That is equal to 49.
00:48 Now l is 4 plus 2 w...
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