Beginning Algebra, 11th Edition

5.

Area of a rectangular rug:

The area of this rug is 80 sq. units. Find

its length and width.

6.

Volume of a rectangular Chinese box:

The volume of this box is 192 cu. units.

Find its length and width.

V=LWH

a=LW

406 CHAPTER 6 Factoring and Applications

x + 8

x – 8

x + 2 x

4

Solve each problem. Check your answers to be sure that they are reasonable. Refer to the for-

mulas on the inside covers. See Example 1.

7.The length of a standard jewel case is 2 cm more than its width. The area of the rectangular

top of the case is. Find the length and width of the jewel case.

8.A standard DVD case is 6 cm longer than it is wide. The area of the rectangular top of the

case is. Find the length and width of the case.

9.The area of a triangle is 30. The base of the triangle measures 2 in. more than twice

the height of the triangle. Find the measures of the base and the height.

10.A certain triangle has its base equal in measure to its height. The area of the triangle is

72 m^2. Find the equal base and height measure.

in.^2

247 cm^2

168 cm^2

11.A 10-gal aquarium is 3 in. higher than it

is wide. Its length is 21 in., and its vol-

ume is 2730. What are the height

and width of the aquarium?

12.A toolbox is 2 ft high, and its width is

3 ft less than its length. If its volume

is 80 , find the length and width of the

box.

in.^3 ft^3

xx+ 3

21

x

x x – 3

2

13.The dimensions of an HPf1905 flat-panel monitor

are such that its length is 3 in. more than its width.

If the length were doubled and if the width were

decreased by 1 in., the area would be increased by

. What are the length and width of the flat
panel?

150 in.^2

x

x + 3

x + 11

x

14.The keyboard that accompanies the monitor in Exercise 13is 11 in. longer than it is wide.

If the length were doubled and if 2 in. were added to the width, the area would be increased

by 198 in.^2. What are the length and width of the keyboard? (Source:Author’s computer.)

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