Question

Please help. I don't understand anything.

Answer 1

A, M(x)=3/2 (x^2-6)

Explanation:

Let's calculate the area of the figure 1st,

Area of figure=Area of triangle+Area of rectangle

=1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)

=(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2

=3x^2-12/2=3/2(x^2-6)

In the options,

M(x)=3/2 (x^2-6) is given, so it best represents the area.

Answer 2

A

Explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6