Question

A triangle has an area of 30 cm². The base and height are scaled by a factor of 3. What is the area of the resulting triangle? Enter your answer in the box.

Answer 1

the real answer is ---> 270 cm^2 <---

Answer 2

The area of the resulting triangle is
`270\ cm^(2)`

Explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the resulting triangle

y-----> the area of the original triangle

so

`z^(2)=(x)/(y)`

we have

`z=3`

`y=30\ cm^(2)`

substitute and solve for x

`3^(2)=(x)/(30)`

`x=9*30=270\ cm^(2)`