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What is the value of x if length is 3x-1 and width is x and the perimeter is 84

What is the value of x if length is 3x-1 and width is x and the perimeter is 84-example-1
User Cnicutar
by
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1 Answer

3 votes

Answer:

x = 10.75

Explanation:

To find the value of x, we need to know the equation for the perimeter of a rectangle. This equation is:

P = 2L + 2W

Where P is the perimeter, L is the length, and W is the width.

We are given P = 84, L = 3x -1 , and W = x. Now we just plug these values in and solve for x.

P = 2L + 2W

84 = 2 ( 3x - 1 ) + 2 ( x )

84 = 6x - 2 + 2x

84 = 8x - 2

86 = 8x

86 / 8 = x

43 / 4 = x

(40 + 3) / 4 = x

10.75 = x

Hence, the value of x = 10.75.

Cheers.

User Gregory Mostizky
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5.2k points