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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?

Respuesta :

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

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