Triangle A has an area equal to one-third the area of Triangle B. Triangle A has an area of 3 1/2 square meters.a. Gerard wrote the equation B/3 = 3 1/2. Explain what BB represents in the equation.b. Determine the area of Triangle B.

Answers:A. B 1/3 represents the area of triangle BB. Triangle B area = 21/2 m² or 10 1/2 m² or 10.5 m²Step-by-step explanation:Ok, we have two triangles measured in square meters (m²)∆ a = 1/3 b          and           ∆ b = 3 1/2Since these two areas have something in common (symbol a) we can consider they are almost the same, so we put them like this:∆ a =>           1/3 b = 3 1/2          <= ∆ bNow 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:[tex]\frac{3}{1} +\frac{1}{2}[/tex]We add these fractions:[tex]\frac{3}{1} +\frac{1}{2} = \frac{(3x2)+(1x1)}{1x2} =\frac{6+1}{2} =\frac{7}{2}[/tex]The equation with this part solved is:[tex]\frac{1}{3} b=\frac{7}{2}[/tex]Since the 1/3 is multiplying, it goes to the other side dividing the number on the right:[tex]b=(\frac{7}{2} )/(\frac{1}{3} )[/tex]And then, we can solve the rest by inverting the second fraction ([tex]\frac{1}{3}[/tex]) and multiplying it by the first one:[tex]b=\frac{7}{2} / \frac{1}{3} \\[/tex][tex]b=\frac{7}{2} x \frac{3}{1} =\frac{7x3}{2x1} =\frac{21}{2}[/tex]And that's it. Let me know if you have any doubts :D