Question

1. find the perimeter of δmnp. 5x - 34 25

Explanation:

Step1: Identify equal - length sides

From the markings, we have $QR = RN$ and $PR=RM$. Also, $5x - 34=25 + 4$.

Step2: Solve for $x$

Solve the equation $5x-34 = 29$. Add 34 to both sides: $5x=29 + 34$, so $5x=63$, and $x=\frac{63}{5}=12.6$.

Step3: Find side lengths

$QP=5x - 34$, substituting $x = 12.6$, we get $QP=5\times12.6-34=63 - 34 = 29$. And $RP=x + 4=12.6+4 = 16.6$.

Step4: Calculate perimeter

The perimeter of $\triangle MNP$ is $2(QP + RP)=2(29+16.6)=2\times45.6 = 91.2$.

Answer:

$91.2$