Answered

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The width of a rectangle is 5x-4. The perimeter is 14x+4. What is the length

Sagot :

Given:

The width of rectangle is w = 5x - 4.

The perimeter of rectangle P = 14x + 4.

Explanation:

The formula for the perimeter of rectangle is,

[tex]P=2(L+w)[/tex]

Substitute the expression in formula to determine the length of rectangle.

[tex]\begin{gathered} 14x+4=2(L+5x-4) \\ L+5x-4=\frac{14x+4}{2} \\ L=7x+2-5x+4 \\ =2x+6 \end{gathered}[/tex]

So length of rectangle is 2x + 6.

Answer: 2x + 6

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