1 Answer

Amir Abiri · Answer 1 · 2023-11-29T19:54:40+0000

Answer:

a = 1

b = 2

c = 5

d = 1

e = 6

Explanation:

Area of a triangle

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

where:

From inspection of the given triangle:

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

$\sf a=\boxed{1}$

$\sf b=\boxed{2}$

$\sf c=\boxed{5}$

$\sf d=\boxed{1}$

$\sf e=\boxed{6}$

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