Answer:
a = 1
b = 2
c = 5
d = 1
e = 6
Step-by-step explanation:
Area of a triangle
[tex]\sf Area=\dfrac{1}{2}bh[/tex]
where:
- b = base
- h = height (perpendicular to the base)
From inspection of the given triangle:
- base (b) = 2x + 4
- height (h) = x + 3
Substitute the given expressions into the formula and simplify:
[tex]\begin{aligned}\implies \sf Area & = \dfrac{1}{2}(2x+4)(x+3)\\\\& = \dfrac{1}{2}(2x^2+10x+12)\\\\& = x^2+5x+6\end{aligned}[/tex]
Comparing the found expression for the area of the given triangle with the required answer format of [tex]ax^b+cx^d+e[/tex], and remembering that [tex]n=n^1[/tex]
[tex]\sf a=\boxed{1}[/tex]
[tex]\sf b=\boxed{2}[/tex]
[tex]\sf c=\boxed{5}[/tex]
[tex]\sf d=\boxed{1}[/tex]
[tex]\sf e=\boxed{6}[/tex]
