We are given the area, which is 2/5 and the height, which is 6/5 ft
The formula for the area of a triangle is [tex]A=\frac{1}{2}bh[/tex]
So since we are given the area and the height, which is 2/5 and 6/5 for the height, we can plug that information into the area of a triangle equation and then solve for b, which b = base
Put 1/2 and 6/5 next to each other and then multiply them. [tex]\frac{2}{5}=\frac{1}{2}b\frac{6}{5}[/tex] [tex]\frac{2}{5}=\frac{1}{2}\frac{6}{5}b[/tex] [tex]\frac{2}{5}=\frac{6}{10}b[/tex]
Now times each side of the equation by the reciprocal of 3/5 which is 5 / 3 [tex]\frac{5}{3}\times\frac{2}{5}=\frac{5}{3}\times\frac{3}{5}b[/tex] [tex]\frac{5}{3}\times\frac{2}{5}=b[/tex] [tex]\frac{10}{15}=b[/tex] Reduce 10 / 15 [tex]\frac{2}{3}=b[/tex] [tex]b = \frac{2}{3}[/tex]