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## The length of a rectangle is given as 3x-2. The width of the rectangle is given as x+3. If the perimeter is measured as 46 centimeters, what

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The length of a rectangle is given as 3x-2. The width of the rectangle is given as x+3. If the perimeter is measured as 46 centimeters, what is the length of the rectangle in centimeters?

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Mathematics
3 months
2021-08-28T08:29:46+00:00
2021-08-28T08:29:46+00:00 1 Answers
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## Answers ( )

Answer:14.5 cm

Step-by-step explanation:L = 3x – 2

W = x + 3

so the perimeter is 2 lengths + 2 widths = 2(3x-2) + 2(x+3) = 6x-4 + 2x + 6

so 8x + 2 = 46

therefore 8x = 46 – 2

so 8x = 44

so x = 44/8 = 5.5

so if the length is 3x – 2

the length must be 3(5.5) -2

or 16.5 -2 which equals 14.5 centimeters