Question

I don’t know how to solve this.. can you help?

Answer 1

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 $A=\frac{1}{2}bh$

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

$A=\frac{1}{b}bh$
$\frac{2}{5}=\frac{1}{2}b\frac{6}{5}$

Put 1/2 and 6/5 next to each other and then multiply them.
$\frac{2}{5}=\frac{1}{2}b\frac{6}{5}$
$\frac{2}{5}=\frac{1}{2}\frac{6}{5}b$
$\frac{2}{5}=\frac{6}{10}b$

Reduce 6/10 = 3 / 5
$\frac{2}{5}=\frac{3}{5}b$

Now times each side of the equation by the reciprocal of 3/5 which is 5 / 3
$\frac{5}{3}\times\frac{2}{5}=\frac{5}{3}\times\frac{3}{5}b$
$\frac{5}{3}\times\frac{2}{5}=b$
$\frac{10}{15}=b$
Reduce 10 / 15
$\frac{2}{3}=b$
$b = \frac{2}{3}$

So your answer is C because b = base = 2 / 3