Answer:
4 feet
Step-by-step explanation:
We know the the area of a triangle can be represented as [tex]\frac{bh}{2}[/tex].
Since the height is twice the base, we can substitute the value [tex]2b[/tex] in as [tex]h[/tex] in the expression, making it [tex]\frac{b\cdot2b}{2}[/tex]. If the area is 16, we can make the equation
[tex]\frac{b\cdot2b}{2} = 16[/tex]
Now to solve for b.
[tex]\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4[/tex]
Hope this helped!
