Basic Mathematics for College Students

(Nandana) #1

CONCEPTS



  1. The figure below shows a kitchen floor that is covered
    with 1-foot-square tiles. Without counting allof the
    squares, determine the area of the floor.

  2. Tell which concept applies, perimeter or area.
    a. The length of a walk around New York’s Central
    Park
    b. The amount of office floor space in the White
    House
    c. The amount of fence needed to enclose a
    playground
    d. The amount of land in Yellowstone National
    Park

  3. Give the formula for the perimeter of a
    a. square b. rectangle

  4. Give the formula for the area of a


a. square b. rectangle
c. triangle d. trapezoid
e. parallelogram


  1. For each figure below, draw the altitude to the base b.


a. b.

c. d.


  1. For each figure below, label the base for the given
    altitude.
    a. b.


c. d.

h

h

h
h

b

b b

b b


  1. The shaded figure below is a combination of what two
    types of geometric figures?

  2. Explain how you would find the area of the following
    shaded figure.


NOTATION


Fill in the blanks.


  1. a. The symbol 1 in.^2 means one.
    b. One square meter is expressed as.

  2. In the figure below, the symbol indicates that
    the dashed line segment, called an altitude,is
    to the base.


GUIDED PRACTICE


Find the perimeter of each square.See Example 1.








  1. A square with sides 5.75 miles long

  2. A square with sides 3.4 yards long
    Find the perimeter of each rectangle, in inches.See Example 2.



  3. 6 ft
    2 in.


2 ft

7 in.

93 in.

93 in.

8 in. 93 in. 93 in.

8 in.

8 in.

8 in.




A B

D C

AB || DC
AD || BC

A B

E D

C

9.7 Perimeters and Areas of Polygons 787
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