Question

Which expression represents the area of the triangle drawn below?

The answer choices are in the photo.. PLEASE HELP!

Answer 1

It is C

Explanation:

I just took the same quiz. I saw that this was the answer.

Hope this helps!

Answer 2

Which expression represents the area of the triangle drawn below?

Base of the triangle=4x+2

Height of the triangle=2x+1

Area of triangle=
`(1)/(2)`*b*h

Area=
`(1)/(2)`*(4x+2)(2x+1)

Simplifying 4x+2 we get, 2(2x+1)

So, we have, Area=
`(1)/(2)`*2(2x+1)(2x+1)

Area=
`(1)/(1)`*1(2x+1)(2x+1)

=(2x+1)(2x+1)

FOILing the two we get, 2x*2x +2x*1 +1*2x+1*1

(2x+1)(2x+1)=4x²+2x+2x+1

Area=4x²+4x+1

So, Area of the triangle=4x²+4x+1

Answer:Option C