Let the perimeter of
is x.
The perimeter of
is
.
(Substitute
)
(Add:
)
By the Proportional perimeters theorem, If two triangles are similar, then the perimeters
\are proportional to the measures of corresponding sides,
.
(Substitute the known values)
(Apply cross products property)
(Multiply)
(Divide each side by 5)
(Simplify)
The perimeter of
is 10.8 units.