Word Problems
Area
Perimeter
Area & Perimeter
Divison Review
100
A school orders 24 boxes of pencils. Each box contains 12 pencils. How many pencils did the school order?
24 × 12 = 288 pencils
100
A rectangular garden is 9 feet long and 4 feet wide. What is its area?
9 × 4 = 36 square feet
100
A square has side lengths of 7 inches. What is its perimeter?
7 + 7 + 7 + 7 = 28 inches
100
A rectangle is 6 feet long and 4 feet wide. Find BOTH its area and perimeter.
Area = 24 square feet; perimeter = 20 feet
Area: 6 × 4 = 24. Perimeter: 6 + 6 + 4 + 4 = 20.
100
84 ÷ 7
12
200
A library has 136 books on one shelf. Another section has 8 times as many books. How many books are in the second section?
Answer: 1,088 books
136 × 8 = 1,088
200
A rectangle has an area of 96 square feet. Its width is 8 feet. What is its length?
Answer: 12 feet
96 ÷ 8 = 12
200
A rectangular playground is 15 meters long and 8 meters wide. What is its perimeter?
Answer: 46 meters
15 + 15 + 8 + 8 = 46
200
A rectangular garden has an area of 48 square feet. Its length is 8 feet.
What is the perimeter of the garden?
A. 14 feet
B. 28 feet
C. 48 feet
D. 96 feet
B. 28 feet
200
648 ÷ 6
108
300
A stadium has 125 seats in each section. There are 16 sections. How many seats are in the stadium?
Answer: 2,000 seats
125 × 16 = 2,000
300
A square playground has side lengths of 84 meters. What is its area?
Answer: 7056 square meters
84 × 84 = 7056
300
A rectangular patio has a perimeter of 70 feet. Its length is 22 feet. What is its width?
Answer: 13 feet
70 ÷ 2 = 35
35 − 22 = 13
300
A rectangular park has a perimeter of 94 feet. One side is 20 feet long. What is the area of the park?
Answer: 540 square feet
94 ÷ 2 = 47
47 − 20 = 27
27 × 20 = 540
300
Mia has $275 saved to buy video games. Each video game costs $8.
What is the greatest number of video games Mia can buy?
A. 33 video games
B. 34 video games
C. 34 R3 video games
D. 35 video games
B. 34 video games
400
A store has 725 stickers to package into bags of 8. How many bags are needed to package ALL the stickers?
Answer: 91 bags
725 ÷ 8 = 90 R5. The 5 leftover stickers need one additional bag.
400
A rectangle has an area of 2,400 square meters. Which dimensions could represent its sides? Select ALL that apply.
A. 60 m × 40 m
B. 80 m × 30 m
C. 120 m × 20 m
D. 50 m × 40 m
E. 100 m × 24 m
Answer: A, B, C, and E
400
A rectangular banner has a perimeter of 100 feet. Which side lengths are possible? Select ALL that apply.
A. 20 ft and 30 ft
B. 25 ft and 25 ft
C. 40 ft and 100 ft
D. 50 ft and 50 ft
E. 35 ft and 15 ft
A, B, and E
400
A rectangular sandbox measures 10 ft × 2 ft. It is redesigned without changing its perimeter. Which new design gives the GREATEST area?
D. 6 ft × 6 ft
400
A fourth-grade class is going on a field trip. There are 157 students attending. Each bus can hold 8 students.
How many buses are needed to transport ALL the students?
A. 19 buses
B. 19 R5 buses
C. 20 buses
D. 21 buses
C. 20 buses
500
A school orders 18 boxes of notebooks with 125 notebooks in each box. The school gives 750 notebooks to fourth grade. The remaining notebooks are shared equally among 6 other grades. How many notebooks does each grade receive?
Answer: 250 notebooks
18 × 125 = 2,250
2,250 − 750 = 1,500
1,500 ÷ 6 = 250
500
A rectangular field has an area of 3,600 square feet. One possible design is 90 ft × 40 ft. Find TWO other pairs of whole-number side lengths that give the same area.
Example: 60 ft × 60 ft; 120 ft × 30 ft
500
A rectangular playground has a perimeter of 192 feet. The length of the playground is 3 times its width.
What are the length and width of the playground?
A. Length = 60 ft, Width = 24 ft
B. Length = 72 ft, Width = 24 ft
C. Length = 64 ft, Width = 32 ft
D. Length = 80 ft, Width = 16 ft
B. Length = 72 ft, Width = 24 ft
500
A patio measures 18 ft × 4 ft. It must keep the SAME area without using MORE fencing. Which designs work? Select ALL that apply.
A. 12 ft × 6 ft
B. 9 ft × 8 ft
C. 24 ft × 3 ft
D. 8 ft × 9 ft
E. 36 ft × 2 ft
Answer: A, B, and D
Original area = 72 square feet and perimeter = 44 feet. A has P = 36; B and D have P = 34. C and E need more fencing.
500
A student solves 1,356 ÷ 6 and gets 226 R2. Is the answer correct? If not, find the correct quotient and explain the mistake.
No. The correct answer is 226 with no remainder.