Answer: 76.2
Explanation:
Perimetar of isiscales triangle is calculated using equation;
P=b+2a
b=9
P=49
lets find sides of triangle.
P-b=2a
a=(P-b)/2
a=49-9/2
a=40/2=20
If another triangle is similar that means that his base and sides are proportional to first triangle.
Base of first trianlge b₁=9
Base of similar triangle is b₂=14
use proportion to find out side of similar triangle:
b₁:b₂=9:14
a₁:a₂=9:14
a₁=20
20: a₂=9:14
a₂=14*20/9=280/9=31.1
Perimetar of second triangle is:
P₂=b₂+2a₂
P₂=14+2*31.1=14+62.2=76.2