If two figures are similar, then which one of the following is not necessarily true?

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Ответ:

anonymous1813

20.01.2020

Mathematics

Area of the first region is 6 square meters.

Area of the second region is 12 square meters.

Area of the third region is 24 square meters.

Step-by-step explanation:

Given:

Total area of the region, $A=42\textrm{ }m^{2}$

Let area of the first region be .

As per question,

Area of second region is twice the first. So, area, $A_{2}=2x$

Area of third region is twice the second. So, area, $A_{3}=2A_{2}=2(2x)=4x$

Now, total area is the sum of the areas of the three regions. So,

$x+A_{2}+A_{3}=A\\x+2x+4x=42\\7x=42\\x=\frac{42}{7}=6\textrm{ }m^{2}$

Therefore, area of first region is $6\textrm{ }m^{2}$

Area of second region is, $A_{2}=2x=2\times 6 = 12\textrm{ }m^{2}$

Area of third region is, $A_{3}=4x=4\times 6 = 24\textrm{ }m^{2}$

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