Question

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.

Answer 1

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,

`P=\text{ Sum of the length of thre}e\text{ sides}`

So, we have

`\begin{gathered} 2x+4+x+3+x=55 \\ 4x+7=55_{} \\ 4x=48 \\ x=12 \end{gathered}`

Then, the length of QR is, 12 units.