Question

The area of the triangle is 2/5 square foot

Answer 1

Area=1/2bh
solveifn for b
times 2 both sides and divide by h
2area/h=b
given
area=2/5
h=6/5

(2*2/5)/(6/5)=b
(4/5)/(6/5)=b
(4/5)(5/6)=b
(20/30)=b
2/3=b
base=2/3ft

Answer 2

Answer:

$\frac{2}{3}$ feet.  

Step-by-step explanation:

We have been given that area of a triangle is $\frac{2}{5}\text{ ft}^2$. We are asked to find the length of the base of the triangle.

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

A= Area of the triangle,

b = Base of the triangle,  

h = height of the triangle.

Upon substituting our given values in are of triangle formula we will get,

$\frac{2}{5}=\frac{1}{2}*b*\frac{6}{5}$

$\frac{2}{5}=b*\frac{3}{5}$

Upon multiplying both sides of our equation by 5/3 we will get,

$\frac{2}{5}*\frac{5}{3}=b*\frac{3}{5}*\frac{5}{3}$

$\frac{2}{3}=b$

Therefore, the length of the base of our given triangle will be $\frac{2}{3}$ feet.