Question

A triangle has an area of 30cm2. The base and height are scaled by a factor of 4.

What is the area of the resulting triangle ?
____cm2

Can you tell me how you got the answer too because I’m trying to figure this out lol

Answer 1

The area of the resulting triangle is
`480\ 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=4`

`y=30\ cm^(2)`

substitute and solve for x

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

`x=16*30=480\ cm^(2)`