vanessacox45
contestada

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

Respuesta :

calculista

Answer:

The area of the resulting triangle is [tex]480\ cm^{2}[/tex]

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

[tex]z^{2} =\frac{x}{y}[/tex]

we have

[tex]z=4[/tex]

[tex]y=30\ cm^{2}[/tex]

substitute and solve for x

[tex]4^{2} =\frac{x}{30}[/tex]

[tex]x=16*30=480\ cm^{2}[/tex]

Otras preguntas