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

Answer:

The area of the resulting triangle is $270\ cm^{2}$

Step-by-step 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

$z^{2}=\frac{x}{y}$

we have

$z=3$

$y=30\ cm^{2}$

substitute and solve for x

$3^{2}=\frac{x}{30}$

$x=9*30=270\ cm^{2}$