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

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

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`