Basic Technical Mathematics, 11th Edition

Exercises 2.3, page 67

1. 1. Trapezoid

2. 3. ${\mathrm{8900 ft}}^2$

3. 5. 340 m

4. 7. 33.24 in.

5. 9. 12.8 m

6. 11. 2.144 ft

7. 13. ${\mathrm{41 mm}}^2$

8. 15. ${\mathrm{23.5 in.}}^2$

9. 17. ${\mathrm{9.3 m}}^2$

10. 19. ${\mathrm{2.000 ft}}^2$

11. 21. $p\hspace{0.17em}=\hspace{0.17em}4a\hspace{0.17em}+\hspace{0.17em}2b$

12. 23. $A\hspace{0.17em}=\hspace{0.17em}bh\hspace{0.17em}+\hspace{0.17em}{a}^2$

13. 25. It is a rectangle.

14. 27. ${\mathrm{288 cm}}^2$

15. 29. $360\hspace{0.17em}°\hspace{0.17em}$

16. 31. $A\hspace{0.17em}=\hspace{0.17em}a(b\hspace{0.17em}+\hspace{0.17em}c)\hspace{0.17em}=\hspace{0.17em}ab\hspace{0.17em}+\hspace{0.17em}ac\hspace{0.17em};\hspace{0.17em}$ distributive law

17. 33. The diagonal always divides the rhombus into two congruent triangles. All outer sides are always equal.

18. 35.

    1. 344 m

    2. ${\mathrm{996 m}}^2$

19. 37. ${\mathrm{1470 ft}}^2$

20. 39. 0.84 gal

21. 41. $w\hspace{0.17em}=\hspace{0.17em}36.7\text{ cm}\hspace{0.17em},\hspace{0.17em}h\hspace{0.17em}=\hspace{0.17em}22.9\text{ cm}$

22. 43. ${\mathrm{3.04 km}}^2$

23. 45. $360\hspace{0.17em}°\hspace{0.17em}$. A diagonal divides a quadrilateral into two triangles, and the interior angles of each triangle are $180\hspace{0.17em}°\hspace{0.17em}$.