Question

Haseem was given the following enlargement. A triangle has a side with length 22.5 centimeters.What is the perimeter, in centimeters, of the enlarged triangle?

Answer 1

First, let's calculate the perimeter of the smaller triangle:

$P=3+5+6=14\text{ cm}$

Now, let's calculate the ratio between the corresponding sides of the triangles:

$r=\frac{22.5}{5}=4.5$

Then, to find the perimeter of the bigger triangle, we can multiply the perimeter of the smaller triangle by the ratio:

$\begin{gathered} P=14\cdot4.5\\ \\ P=63\text{ cm} \end{gathered}$

Therefore the correct option is the fourth one.