Question

i really really need help with all of these you don't have to show your work but please help me with at least some or all of them pls i'm giving 50 points!!!!!

Answer 1

Explanation:

1. 24+9/2pi, 2. 51 3. 86. 4. 90 5. 56, all of these are done with the addition or subtraction of simple geometric formulas such as those for a rectangle,circle or triangle.

Answer 2

Explanation:

1. Rectangle + Semi-Circle

`A = a*b + (\pi r^(2))/(2)\\a=6, b=4, r=(a)/(2) = 3\\A = 24 + 4.5 \pi = 38.14 in^(2)\\`

2. Large Rectangle - Small Rectangle

`A = 15 * 5 - 6*3 = 75 - 18 = 57 in^(2)\\`

3. Rectangle - Trapezoid

`A = a * b - (c+d)/(2)h = 20*17 - 6 * (6+12)/(2) = 340 - 54 = 286 cm^(2)\\`

4. The composite figure is a rectangle if the triangle is moved to left and fills the missing part

`A = a * b = 10 * 9 = 90 m^(2)\\`

5. Square - Triangle

A =
`A = a^(2) - (b^(2))/(2) = 8 * 8 - (4 * 4)/(2) = 64 - 8 = 56 cm^(2)\\`

6. Circle - Square

`A = \pi r^(2) - a^(2) = 64 \pi - 12 * 12 = 64 \pi - 144 = 57.06 m^(2)`

7. Square - Triangle

`A = a^(2) - (b*h)/(2) = 15 * 15 - (10 * 8)/(2) = 225 - 40 = 185 sq.ft.`

8. Rectangle + Triangle

`A = a *b + (a*h)/(2) = 9.5 * 9 + (9.5*12)/(2) = 85.5 + 57 = 142.5 in^(2)\\`

9. Triangle + Rectangle

`A = (a*b)/(2) + c * d = (12*10)/(2) + 12 * 6 = 60 + 72 = 132 sq.ft.`

10. Rectangle + Quarter Circle

`A = r * b + (\pi r^(2))/(4) = 6 * 8 + (36 \pi)/(4) = 48 + 9 \pi = 76.27 in^(2)\\`

11. Square + Rectangle

`A = a^(2) + b * c = 7 * 7 + 9 * 14 = 49 + 126 = 175 m^(2)`

12. Rectangle - 2 * Square

`A = a * b - 2 * c^(2) = 25 * 18 - 2 * 8 * 8 = 450 - 128 = 322 sq.ft.`

13. Trapezoid

`A = (a+b)/(2) * h = (10+15)/(2) * 15 = 12.5 * 15 = 187.5 sq.ft.`

14. Trapezoid - Rectangle

`A = a * h - c * d = 12 * 7 - 9 * 5 = 84 - 45 = 39 in^(2)`

15. Rectangle - Triangle

`A = a * b - (a * b)/(2) = (a*b)/(2) = (10 * 20)/(2) = 100 in^(2)`

16. Square + Trapezoid

`A = a^(2) + (a + b)/(2) * h = 25 + (5 + 9.5)/(2) * 6 = 25 + 43.5 = 68.5 in^(2)`