Solve problems and show work with them

19. The answer is D: 60x^2 - 30x^2
THe length of the rectangle is equal to 10x by 6x so the whole rectangles area is 60x
Now you do the area of the triangle 5x(3x)=15x and divide by two because it’s a triangle so the area of the one triangle is 7 1/2x and there are 4 rectangles so 7.5(4)=30. Now you subtract the 30x from the 60x

20. The answer is 239.44
If the perimeter of the hexagon is 48ft then each side(there are 5sides so we divide 48 by 5) is 9.6 ft.
Now you plug 9.6 into the formula where the lowercase a is to get the area(I’m going to attach a screenshot of it because it’s hard to read without symbols.)

21. The answer is B. 220m^2
To find the area of the teapot our we can find the area of the triangle and the rectangle and add them together
Rectangle: 18(10)=180
Triangle: 8(10)=80
80/2=40
Rectangle + triangle = trapezoid
180+40=220

22. The answer is J. 96in
We solve for x by making the two expressions equal to each other
3x-6=x+14
3x=x+20
2x=20
X=10

Now we plug 10 one the expressions, because they are equal.
3(10)-6
30-6
24

There are 4 sides so 24(4)=96