What is the area of the figure below?

rectangle: 30 in^2

triangle:  12 in^2

composite: 42 in^2

Step-by-step explanation:

area of a rectangle: length times width

area of a triangle:

composite area: break the area up by shapes you can find the area of, then add it back together

faster, im not sure why but i know it is faster

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct