3B · Chapter 13 · review
Chapter review
Original cumulative chapter practice to consolidate taught ideas.
Original cumulative chapter practice to consolidate taught ideas. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.
Assessment · 26 questions
Questions
Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.
- A1
A rectangular garden covers 4 rows of 4 equal unit squares. Find its area.
Reveal explanation
Answer: 16 square units
There are 4 rows of 4 equal square units: 4 × 4 = 16 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A2
A tiled mat is 9 square units across and 6 square units down. How many unit squares cover it?
Reveal explanation
Answer: 54 square units
There are 6 rows of 9 equal square units: 9 × 6 = 54 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A3
A rectangle is 3 unit squares across and 3 unit squares down. What is its area?
Reveal explanation
Answer: 9 square units
There are 3 rows of 3 equal square units: 3 × 3 = 9 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A4
A 7-by-4 rectangle has a 6-by-2 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 16 square units
Whole rectangle: 7 × 4 = 28. Missing corner: 6 × 2 = 12. Remaining: 28 − 12 = 16.
Square-unit grid; count only visible squares without gaps or overlap. - A5
A rectangular fence is 5 cm long and 2 cm wide. What length of edging goes all the way around?
Reveal explanation
Answer: 14 cm
Walk along every outer edge once: 5 + 2 + 5 + 2 = 14 cm.
Square-unit grid; count only visible squares without gaps or overlap. - A6
A rectangle measures 8 cm by 2 cm. What is its perimeter?
Reveal explanation
Answer: 20 cm
Walk along every outer edge once: 8 + 2 + 8 + 2 = 20 cm.
Square-unit grid; count only visible squares without gaps or overlap. - A7
A 7-by-2 rectangle has what area and what perimeter? Include units.
Reveal explanation
Answer: 14 square units; 18 units
Area counts square units: 7 × 2 = 14. Perimeter counts the boundary: 2(7+2) = 18. They have different units.
Square-unit grid; count only visible squares without gaps or overlap. - A8
A rectangular garden covers 2 rows of 6 equal unit squares. Find its area.
Reveal explanation
Answer: 12 square units
There are 2 rows of 6 equal square units: 6 × 2 = 12 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A9
A tiled mat is 8 square units across and 5 square units down. How many unit squares cover it?
Reveal explanation
Answer: 40 square units
There are 5 rows of 8 equal square units: 8 × 5 = 40 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A10
A rectangle is 3 unit squares across and 4 unit squares down. What is its area?
Reveal explanation
Answer: 12 square units
There are 4 rows of 3 equal square units: 3 × 4 = 12 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A11
A 5-by-4 rectangle has a 2-by-2 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 16 square units
Whole rectangle: 5 × 4 = 20. Missing corner: 2 × 2 = 4. Remaining: 20 − 4 = 16.
Square-unit grid; count only visible squares without gaps or overlap. - A12
A rectangular fence is 3 cm long and 5 cm wide. What length of edging goes all the way around?
Reveal explanation
Answer: 16 cm
Walk along every outer edge once: 3 + 5 + 3 + 5 = 16 cm.
Square-unit grid; count only visible squares without gaps or overlap. - A13
A rectangle measures 6 cm by 6 cm. What is its perimeter?
Reveal explanation
Answer: 24 cm
Walk along every outer edge once: 6 + 6 + 6 + 6 = 24 cm.
Square-unit grid; count only visible squares without gaps or overlap. - A14
A 6-by-2 rectangle has what area and what perimeter? Include units.
Reveal explanation
Answer: 12 square units; 16 units
Area counts square units: 6 × 2 = 12. Perimeter counts the boundary: 2(6+2) = 16. They have different units.
Square-unit grid; count only visible squares without gaps or overlap. - A15
A rectangular garden covers 3 rows of 4 equal unit squares. Find its area.
Reveal explanation
Answer: 12 square units
There are 3 rows of 4 equal square units: 4 × 3 = 12 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A16
A tiled mat is 7 square units across and 4 square units down. How many unit squares cover it?
Reveal explanation
Answer: 28 square units
There are 4 rows of 7 equal square units: 7 × 4 = 28 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A17
A rectangle is 4 unit squares across and 6 unit squares down. What is its area?
Reveal explanation
Answer: 24 square units
There are 6 rows of 4 equal square units: 4 × 6 = 24 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A18
A 6-by-5 rectangle has a 5-by-4 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 10 square units
Whole rectangle: 6 × 5 = 30. Missing corner: 5 × 4 = 20. Remaining: 30 − 20 = 10.
Square-unit grid; count only visible squares without gaps or overlap. - A19
A rectangular fence is 3 cm long and 3 cm wide. What length of edging goes all the way around?
Reveal explanation
Answer: 12 cm
Walk along every outer edge once: 3 + 3 + 3 + 3 = 12 cm.
Square-unit grid; count only visible squares without gaps or overlap. - A20
A rectangle measures 9 cm by 2 cm. What is its perimeter?
Reveal explanation
Answer: 22 cm
Walk along every outer edge once: 9 + 2 + 9 + 2 = 22 cm.
Square-unit grid; count only visible squares without gaps or overlap. - A21
A 3-by-5 rectangle has what area and what perimeter? Include units.
Reveal explanation
Answer: 15 square units; 16 units
Area counts square units: 3 × 5 = 15. Perimeter counts the boundary: 2(3+5) = 16. They have different units.
Square-unit grid; count only visible squares without gaps or overlap. - A22
A rectangular garden covers 5 rows of 3 equal unit squares. Find its area.
Reveal explanation
Answer: 15 square units
There are 5 rows of 3 equal square units: 3 × 5 = 15 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A23
A tiled mat is 3 square units across and 3 square units down. How many unit squares cover it?
Reveal explanation
Answer: 9 square units
There are 3 rows of 3 equal square units: 3 × 3 = 9 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A24
A rectangle is 7 unit squares across and 5 unit squares down. What is its area?
Reveal explanation
Answer: 35 square units
There are 5 rows of 7 equal square units: 7 × 5 = 35 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A25
A student says a rectangle with area 15 square units must have perimeter 15 units. Explain why this is not generally true using a 3-by-5 example.
Reveal explanation
Answer: Perimeter 16 units
The area is 3 × 5 = 15 square units, but its perimeter is 2 × (3+5) = 16 units. Area and perimeter measure different things.
- A26
A 7-by-5 rectangle and a 1-by-35 rectangle have the same area. Must they have the same perimeter?
Reveal explanation
Answer: No
Both areas are equal, but different side dimensions usually give different boundary lengths.