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 Co pyright mmix Pensacola Christian College • Not to be reproduced. a. C . 57
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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.)
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.