3 ft. 6 ft.

4 ft. SS

A= A= A

a. length 7 yd. width 5 yd.

b. 6 ft. by 13 ft. c. 4 miles x 7 miles

Rule: The area of a rectangle can be found by using the formula A=1 x W. 1= length; w= width (A=1 x w can be written as A=lw.)

9 units 1 2 3 4 5 6 7 8 9

10 11 12 13 14 15 16 17 18

19 20 21 22 23 24 25 26 27

28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45

46 47 48 49 50 51 52 53 54

A=lx w A= 9 x 6

A= 54 square units

Facts: 1. inches x inches = square inches

2. feet x feet = square feet

3. yards x yards = square yards

4. meters x meters = square meters

5. miles x miles = square miles

6. Acres are square units.

Learn these measures: 6 units

144 square inches (sq. in.) = 1 square foot (sq. ft.)

9 square feet = 1 square yard (sq. yd.)

43,560 square feet = 1 acre (a.)

640 acres = 1 square mile (sq. mi.)

Class Practice 1. Find the area by counting each square unit. Area is always square units.

6 ft. 13 ft. 2 ft.

2. Use the formula to find the area of rectangles having these dimensions. Remember, area is always square units. (For additional practice, see Supplementary Exercises, p. 342.)

3. Fill in the blanks.

sq. ft. = 1 sq. yd.

acres = 1 sq. mi.

Lesson 145 • 261

b.

d.

sq. in. = 1 sq. ft.

sq. ft. = 1 acre

C 5 Copyright mmix Pensacola Christian College • Not to be reproduced.

a.

C .

57

4. Find the perimeters of these rectangles.

a. 4 ft. by 7 ft. b. 3 yd. by 21 ft. c. 15 ft. by 16 ft.

Review

5. Divide and check.

a. 913 2,6 3 9 b. 321126,419 c. 8071330,063

6. Solve this story problem.

Daniel had 25 gallons of gasoline in his gas can. He used I of it to mow the lawn. How much gas does he have left?

Give instruction to a wise man, and he will be yet wiser: teach a just man, and he will

increase in learning. —Prow. 9:9

7. Multiply.

4 a. 7 x 49 = b. 4 x = c. 161 x = d. 45 x 23 =

8. Solve these equations.

a. 84 qt. — 3 gal. = gal. b. i lb. + 3 oz. = oz.

c. n + 2 = 9 x 6 d. 4y = 28 + 8 x " e.

Homework Lesson 145, homework section

262 • Lesson 145 Arithmetic 5

Area of a Square

Name

3 Dates- Qg.)

Rule: The area of a square can be found by using the formula A = s x s. A = s x s can also be written as A = s2, which is read A equals s squared. When a number is squared, the number is multiplied by itself.

Examples of squaring a number: 42 = 4 x 4 = 16 9 2 = 9 x 9 = 81 142 = 14 x 14 = 196

Example of finding the area of a square:

5 units

1 2 3 4 5

6 7 8 9 10

11 12 13 14 15

16 17 18 19 20

21 22 23 24 25

A=sxs A = s2

A = 5 x 5 or A = 5 2

A = 25 sq. units A = 25 sq. units

5 units

A = 25 sq. units

(Green-lettered problems are additional practice.)

b. Mrs. Thomas wants wall to wall carpeting in the family room. The room measures 10 feet by 12 feet. How many square feet of carpeting does she need? How many square yards does she need? (Hint: To find square yards divide the square feet by 9.)

Class Practice 1. Solve these story problems.

a. Mr. Thomas is planting grass in the front yard. His yard is a square that is 30 feet on each side. How many square feet of grass must he plant?

2. Find the areas of squares with these dimensions. (For additional practice, see Supplementary Exercises, p. 342.)

a. s = 9.3 ft. b. s = 18 ft. c. s = 11 yd.

3. Find the areas of rectangles with these dimensions.

a. / = 214 yd. w = 209 yd.

b. w = 4 ft.

c. / = 9 yd. w = 5 yd.

Lesson 146 • 263 Copyright CD mmix Pensacola Christian College • Not to be reproduced.

4. Find the perimeters.

I,- \cc-A

a. square s=32 ft.

b. triangle with sides of 9 ft., 8 ft., and 15 ft.

c. rectangle / = 25 ft.

w = 13 ft.

5. Convert the temperatures.

a. 86°F. = °C b. 10°C = °F. c. 25°C = °F.

Review 6. Divide and check by casting out 9s.

a. 251896,042 b. 9211832,464 c. 407191,652

7. Write as Arabic numerals.

a. DCXLI

d. MMMI

g. LXII

b. LTV

e. CXXVII

h. XC

c. CCLXX

f. MMDII

i. CXCIX

8. Follow the signs.

a. 93

—27*

b. 7X3= d. 602

— 2911

Homework

Lesson 146, homework section

264 • Lesson 146 Arithmetic 5

1 2 3

4

7 8 9

6 5 3 x 3 = 9

Or

32 = 9 (3 squared = 9)

3

Name

Area of a square is the product of the side by itself. 3

A small 2 written to the right and above a number is an exponent. The exponent 2 means to multiply the number (base) by itself.

The process that is opposite squaring is square root. The symbol is used to show that a square root is to be found. '■/-2-5- is read the square root of 25.

-‘125 = 5 because 5 x 5 = 25 or 5 2 = 25

V144 = 12 because 12 x 12 = 144 or 12 2 = 144

Class Practice 1. Solve the story problems.

a. Missy Johnson planted a square flower garden. Each side is 8 yards. What is the area of the garden?

b. Mr. Taylor's classroom is in the shape of a square with an area of 81 square yards. How many yards are each side?

2. Write the products. Remember to multiply the base by itself and not by two.

a. 1 2 = b. 22 = c. 32 = d. 42 = e. 52 = f. 62 =

g. 72 =

h. 82 =

i. 92 _ j. 1 02 = k. 112 = 1. 12 2 =

3. Write the square root by counting from 1 to 12.

a. Ail = b. 114 = c. = d. i1-6 = e. 25 = f. -36 =

g. IFLO = h. A674 = i. 81 = j. 11100 = k. 121 = 1. 11144 =

Review 4. Write the percent for rainy days. The total for each is 10 days.

a. 5 days b. 3 days c. 6 days d. 9 days e. 1 day

Lesson 147 • 265 Copyright © mmix Pensacola Christian College • Not to he reproduced.

c. d. OOP

2P ISO

5. Write the percent of one dollar.

a. 55 pennies b. 3 dimes c. 1 quarter, 1 nickel d. 7 dimes, 3 nickels

6. Write the percent that is yellow.

7. Find the answer.

a. 73.9 b. 3 0.02 C. 1 1 d. 432 5 1 + 2i

2.8 — 18.05 — '7i x 57

+36.9

f. .072 g. $ 73.95 h. i. 252 37 2 48 1$44.64 x 9.5 x 68

8. Find the perimeters.

a. rectangle 6 ft. x 8 ft.

b. square s = 5.1 ft.

c. square s = 15 ft.

d. rectangle 51 ft. x 6 ft.

9. Find the areas.

a. rectangle b. square c. square 6 ft. x 8 ft. s = 5.1 ft. s = 15 ft.

d. rectangle 5 ft. 3 in. x 6 ft.

266 • Lesson 147 Arithmetic 5

1 1 Date 6-NlA NI - Name

0 Area and Acre

Class Practice 1. Find the areas for the following shapes. Mark yes if more than an acre. Mark no

if less than an acre. Remember an acre is 43,560 sq. ft.

a. square yes no s = 206 ft. 0 0

b. rectangle yes no l= 222 ft. 0 0

w = 198 ft.

c. rectangle yes no / = 299 ft. 0 0

w = 145 ft.

2. Solve these story problems.

a. Mr. Zimmerman has a piece of land 207 ft. by 222 ft. Does he have more or less than an acre?

3. Find the perimeters of these rectangles.

b. Mr. Zimmerman purchased 131 acres of land joining the land he already owns. He paid $7,500 per acre. How much did the land cost in all?

a. 932 ft. by 941 ft.

4. Write each answer.

b. 2 yd. by 5 yd. c. 13.1 ft. by 15 ft.

b.49 = c. 52 d. 1125 = e. 202 =

g. V64 = h. 42 = i. 1 = j. 422 =

a . 72

f. 82 =

Review 5. Write the number of sides in these polygons.

a. octagon b. triangle

e. pentagon f. square

c. trapezoid d. heptagon

g. parallelogram h. hexagon

Lesson 148 • 267 Copyright © mmix Pensacola Christian College • Not to he reproduced.

a. 310 mm = cm

9. Solve these puzzles.

\ ) 3 1 6. Divide and write each remainder as a fraction in lowest terms.

a. 1251900,005 b. 4721156,926 c- 16196

7. Follow the signs.

a. 321 6 b. 654 4 c. 25-A-

- 89fi 209 3 72

+721N 43

+11

5 4 2 d. x 2i = e. g-3 =

8. Find the answers.

f. 12 -- = g. 19X5=

a. 45°C = °F. b. y — 13 = ii c. 9 kg =

Homework Lesson 148, homework section

268 • Lesson 148 Arithmetic 5

Name

\\ XI) Date

Area and Perimeter Review

Class Practice 1. Fill in the blanks with the correct numbers.

a.

d. 3 sq. ft. =

g. 3 1,0 a. =

sq. mi. = 640 a. c. sq. ft. = 1 sq. yd.

sq. ft. = 1 a. f. 12 sq. in. = sq. ft.

sq. mi. h. 1,296 sq. in. =

sq. in. = 1 sq. ft. b.

sq. yd. e.

sq. ft. = sq. yd.

2. Find the areas.

a. rectangle b. square 16 ft. x 20 ft. s = 7 in.

c. rectangle 81 yd. x 10 yd.

d. square s =22 ft.

3. Find the perimeters.

a. rectangle 16 ft. x 20 ft.

b. square s = 7 in.

c. rectangle d. square 81 yd. x 10 yd. s = 2 -2 in.

4. Number each column from least to greatest.

acre ounce

sq. in. ton

sq. mi. gram

sq. ft. pound

sq. yd. kilogram

liter

gallon

quart

cup

pint

5. Solve these story problems.

a. Mrs. Bradford has new tile on the kitchen floor. The kitchen is 13 ft. by 14 ft. How many square feet of tile did she have to purchase?

b. Each square foot of tile cost $9.79. What was the cost of the tile?

c. Mr. Bradford hired two men to lay the tile. Each man worked 7 hours at the rate of $35.50 per hour. What was the cost of having the tile laid?

d. What was the total cost of the tile and the labor for laying the tile?

IL Copyright mmix Pensacola Christian College • Not to be reproduced. Lesson 149 • 269

Review 6. Multiply or divide.

a. x 14 =

e. 8=

b. 35 x 12 = C. 2 x 2 = d. x 56 =

4 = 7 3

f. 9-4= g. 1 -1 ÷ 1-14 = h. 10 =

7. Mark under the four fractions that are in lowest terms.

324 205 731 116 810 815 913 302

0 0 0 0

8. Change to a whole or mixed number.

23 a. 7 b.

16 4 =

331 422

0

9

105 110

0

d.

31 40

0

=

17 85

0

C. 15 -5

191 200

0

=

9. Change to an improper fraction.

a. 34 = b. 9i = c. 8 4s= d. 6i =

10. Follow the signs.

3 a. 4 2 5 1 + 2

b. 13

-

c .

+4

d. 1 73

-

Hundred Ten

a. 5,326

b. 9,158

C . 8,972

d. 6,418

e. 3,284

11. Round off correctly.

Number One Thousand

270 • Lesson 149 Arithmetic 5