OnesimoA110009 OnesimoA110009
  • 03-11-2022
  • Mathematics
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The perimeter of ΔPQR below is 55 units. What is the length of side QR?P to Q 2x+4 P to R x+3 Q to R has an x there.

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QuiannaR753199 QuiannaR753199
  • 03-11-2022

Given:

In ΔPQR, Perimeter is 55 units.

The length of PQ = 2x+4

The length of PR = x+3

The length of Q+R = x

To find the length of QR, that is x:

Perimeter of the triangle formula is,

[tex]P=\text{ Sum of the length of thre}e\text{ sides}[/tex]

So, we have

[tex]\begin{gathered} 2x+4+x+3+x=55 \\ 4x+7=55_{} \\ 4x=48 \\ x=12 \end{gathered}[/tex]

Then, the length of QR is, 12 units.

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