Question

A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?

Answer 1

Answer:

Area of resulting triangle  will be 900 $cm^2$.

Step-by-step explanation:

When sides of  any polygon if scaled by a factor of k

then area is scaled by $k^2$

According to the above statement

therefore  here in the question since area of original triangle was 36$cm^2$

and both  base and height are scaled by a factor of 5.

therefore area of scaled triangle will be $5^2$ times of the original

that is 25 x 36 which gives 900 $cm^2$

So area of resulting triangle will be 900 $cm^2$