Answers to Math Exercises & Math Problems: Perimeter and Area of Plane Figures

 

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1. P = 11.88 m, A = 8.82 m2

 

2. A = 116.46 cm2

 

3. P = 48×sqrt(5) = 107.33 m, A = 640 m2

 

4. 117.36 m2

 

5. a = 0.4 m, b = 1 m

 

6. P = 13.6 m

 

7. d2 = sqrt(1,840) = 42.9 dm

 

8. A = 69.98 cm2

 

9. h = 25 mm

 

10. h = 38.25 mm, d = 98.71 mm, A = 3,480.68 mm2

 

11. A = 529.2 m2, P = 191.5 m

 

12. a = b = 142 m, c = 190 m, A = 10,026.44 m2

 

13. 16 %

 

14. P = 8(2+sqrt(2)) = 27.31 cm

 

15. A = 36×sqrt(3) = 62.35 dm2

 

16. α = 29°50', β = 134°43', γ = 15°27', A = 37.31 cm2

 

17. P = 34.37, A = 43.30, α = 31°57', γ = 42°28'

 

18. a = 20.86, b = 55.31, c = 68.06, γ = 119°32'

 

19. d1 = 12.54 cm, d2 = 7.14 cm

 

20. A = 32×sqrt(3) = 55.43 cm2

 

21. a = 4×sqrt(3) = 6.93 cm, A = 72×sqrt(3) = 124.71 cm2

 

22. P = 30π = 94.2 cm

 

23. A = 225π = 706.14 dm2

 

24. A = 32(π–2) = 36.53 cm2

 

25. A = 12π = 37.7 cm2

 

 

 

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