Answer:
130
Step-by-step explanation:
Triangle MNP is twice the size of triangle SRP. So 2(x+4)=5x-34.
Distribute: 2x+8=5x-34
Add 34 on both sides: 2x+42=5x
Subract 2x on both sides: 42=3x
Divide both sides by 3: 14=x
If x=14, then 5x-34
is 5(14)-34=70-34=36.
The perimeter of the triangle MNP is
MN+NP+PM.
MN is 36
NP is doubled the 22 because triangle MNP is twice the size of triangle MQS. So NP is 44.
PM is doubled the 25 because triangle MNP is twice the size of triangle QNR. So PM is 50.
The perimeter of the triangle MNP is
MN+NP+PM
=36+44+50
=130
