Basic Mathematics for College Students

Write and then solve an equation to answer each problem.

See Example 3.

25. The perimeter of an isosceles triangle is 35 feet. Each
    of the sides of equal length is 10 feet long. Find the
    length of the base of the triangle.


26. The perimeter of an isosceles triangle is 94 feet. Each
    of the sides of equal length is 42 feet long. Find the
    length of the base of the triangle.


27. The perimeter of an isosceles trapezoid is 35 meters.
    The upper base is 10 meters long, and the lower base is
    15 meters long. How long is each leg of the trapezoid?


28. The perimeter of an isosceles trapezoid is 46 inches.
    The upper base is 12 inches long, and the lower base
    is 16 inches long. How long is each leg of the
    trapezoid?
    Find the area of each square.See Example 4.


29. 
    
    
    
    30. 
        
    
    
    
    


30. A square with sides 2.5 meters long


31. A square with sides 6.8 feet long
    For Problems 33–40,see Example 5.


32. How many square inches are in 1 square foot?

24 in.

4 cm 24 in.

4 cm

9 in.

4 ft

11 in.

3 ft

Find the area of each rectangle. Give the answer in square feet.

See Example 6.

Find the area of each triangle.See Example 7.

45.

46.

47.

48.

Find the area of each triangle.See Example 8.

49.

50.

51.

52.

11 ft

5 ft 7 ft

7 mi

3 mi 4 mi

6 yd 5 yd

9 yd

3 in.

5 in.

4 in.

12 in.

3 in.

9 cm

6 cm

6 ft

18 ft

12 ft

10 in.

5 in. 6 in.

7 yd

15 yd

20 yd

62 yd

9 yd

10 yd

5 yd

3 yd

788 Chapter 9 An Introduction to Geometry

34. How many square inches are in 1 square yard?


35. How many square millimeters are in 1 square
    meter?


36. How many square decimeters are in 1 square
    meter?


37. How many square feet are in 1 square mile?


38. How many square yards are in 1 square mile?


39. How many square meters are in 1 square kilometer?


40. How many square dekameters are in 1 square
    kilometer?