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=[tex] \frac{1}{2} [/tex]*b*h
Area=[tex] \frac{1}{2} [/tex]*(4x+2)(2x+1)
Simplifying 4x+2 we get, 2(2x+1)
So, we have, Area=[tex] \frac{1}{2} [/tex]*2(2x+1)(2x+1)
Area=[tex] \frac{1}{1} [/tex]*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
