Mathematics: Find the area................................

This is just so fking wrong XDStep-by-step explanation:...

Find the area................................

Ответ:

rhyanebean6443

18.01.2022

Mathematics

$36.5\ cm^2$

Step-by-step explanation:

You know that both figures are similar. So, in order to find the missing area, you need to follow these steps:

1. You must find the scale factor of the the perimeter of the smaller figure to the perimeter of larger figure. This is the ratio between the perimeters. Since it is a lenght, you know that:

$scale\ factor\ perimeter=\frac{28}{20}=\frac{7}{5}$

2. Now, you must find the scale factor of the area of the smaller figure to the area of the larger figure. This is:

$scale\ factor\ area=(\frac{7}{5})^2=\frac{49}{25}$

3. Set up the following proportion:

$\frac{49}{25}=\frac{A}{18.6}$

4. Finally, you must solve for "A", which is the area of the larger figure:

$(18.6)(\frac{49}{25})=A\\\\A=36.5\ cm^2$

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Find the area................................

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