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The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

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Answer to a math question The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

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Tiffany

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97 Answers

1. Let the width of the rectangle be

inches.
2. Then the length of the rectangle is

3w + 9

inches.
3. The formula for the perimeter of a rectangle is

P = 2l + 2w

.
4. Substituting the given perimeter and expressions for length and width:

106 = 2(3w + 9) + 2w

.
5. Simplifying the equation:

106 = 6w + 18 + 2w

106 = 8w + 18

6. Subtract 18 from both sides:

106 - 18 = 8w

88 = 8w

7. Divide both sides by 8:

w = 11

8. Now calculate the length using

l = 3w + 9

l = 3(11) + 9

l = 33 + 9

l = 42

9. Therefore, the dimensions are:
Width:

w = 11

inches
Length:

l = 42

inches.

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The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

Answer to a math question The length of a rectangle is nine more than triple the width. If the perimeter is 106 inches, find the dimensions.

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