Answers:
A. B 1/3 represents the area of triangle B
B. Triangle B area = 21/2 m² or 10 1/2 m² or 10.5 m²
Step-by-step explanation:
<em>Ok, we have two triangles measured in square meters (m²)</em>
∆ a = 1/3 b and ∆ b = 3 1/2
<em>Since these two areas have something in common (symbol a) we can consider they are almost the same, so we put them like this:</em>
∆ a => <u>1/3 b = 3 1/2</u> <= ∆ b
<em>Now that we know we can move some values. first we are gonna multiply the mixed fraction (3 1/2) to make it a regular fraction. As 3 is a whole, we can also write it on the following way:</em>
![\frac{3}{1} +\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D%20%2B%5Cfrac%7B1%7D%7B2%7D)
<em>We add these fractions:</em>
![\frac{3}{1} +\frac{1}{2} = \frac{(3x2)+(1x1)}{1x2} =\frac{6+1}{2} =\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B%283x2%29%2B%281x1%29%7D%7B1x2%7D%20%3D%5Cfrac%7B6%2B1%7D%7B2%7D%20%3D%5Cfrac%7B7%7D%7B2%7D)
<em>The equation with this part solved is:</em>
![\frac{1}{3} b=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20b%3D%5Cfrac%7B7%7D%7B2%7D)
<em>Since the </em><em>1/3 </em><em>is multiplying, it goes to the other side dividing the number on the right:</em>
<em>
</em>
<em>And then, we can solve the rest by inverting the second fraction (
) and multiplying it by the first one:</em>
<em>
</em>
<em>
</em>
<em>And that's it. Let me know if you have any doubts :D</em>