Question

PLEASE HELP ASAP 30 POINTS!!!

Answer 1

a = 1

b = 2

c = 5

d = 1

e = 6

Explanation:

Area of a triangle

`\sf Area=(1)/(2)bh`

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:

`\begin{aligned}\implies \sf Area & = (1)/(2)(2x+4)(x+3)\\\\& = (1)/(2)(2x^2+10x+12)\\\\& = x^2+5x+6\end{aligned}`

Comparing the found expression for the area of the given triangle with the required answer format of
`ax^b+cx^d+e`, and remembering that
`n=n^1`

`\sf a=\boxed{1}`

`\sf b=\boxed{2}`

`\sf c=\boxed{5}`

`\sf d=\boxed{1}`

`\sf e=\boxed{6}`