Answer:
[tex]A=b(b+\frac{5}{2} )[/tex]
Step-by-step explanation:
hey there!!!
we know already that the area of a triangle is given as
[tex]A=\frac{1}{2}b *h[/tex]
where b= base
and h= heigth
Given that the height is 5 times more than twice it base
let h= 2b+5
Now we substitute h=2b+5 in the area of the triangle
[tex]A=\frac{1}{2}b * (2b+5)[/tex]
[tex]A= \frac{2b^2}{2} +\frac{5b}{2}[/tex]
[tex]A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )[/tex]
