Basic Mathematics for College Students

786 Chapter 9 An Introduction to Geometry

EXAMPLE (^13) Carpeting a Room A living room/dining room has the
floor plan shown in the figure. If carpet costs $29 per square yard, including pad and
installation, how much will it cost to carpet both rooms? (Assume no waste.)
Now TryProblem 73
1.154 cm 2.50 in. 3.28 m 4.400 in.^2 5.10,000 cm^2 6.6,480 in.^2 7.90 mm^2
8.10.5 ft^2 9.54 m^2 10.8 cm 11.41 yd^2 12.119 ft^2
ANSWERS TO SELF CHECKS
StrategyWe will find the number of square yards of carpeting needed and
multiply the result by $29.
WHYEach square yard costs $29.
SolutionFirst, we must find the total area of the living room and the dining room:
Since divides the space into two rectangles, the areas of the living room and the
dining room are found by multiplying their respective lengths and widths.
Therefore, the area of the living room is.
The width of the dining room is given as 4 yd. To find its length, we subtract:
Thus, the area of the dining room is. The total area to be
carpeted is the sum of these two areas.
At $29 per square yard, the cost to carpet both rooms will be 48 $29, or $1,392.
48 yd^2
Atotal28 yd^2 20 yd^2
AtotalAliving roomAdining room
5 yd4 yd20 yd^2
m(CD)m(GE)m(AB)9 yd4 yd5 yd
4 yd7 yd28 yd^2

CF

AtotalAliving roomAdining room

VOCABULARY

Fill in the blanks.

1. The distance around a polygon is called the.


2. The of a polygon is measured in linear
   units such as inches, feet, and miles.
   3. The measure of the surface enclosed by a polygon is
   called its.
   4. If each side of a square measures 1 foot, the area
   enclosed by the square is 1 foot.
   5. The of a polygon is measured in square units.
   6. The segment that represents the height of a triangle is
   called an.

SECTION 9.7 STUDY SET

9 yd

4 yd

7 yd

Living

room

Dining

room

A

G

D

E

F

B

C

4 yd

48

 29

432

960

1,392