Chapter 11 — Practice 1
18 original mixed questions
Practice earlier ideas together. Check answers only after you have completed an attempt.
A rectangle has 3 rows of 8 unit squares. What is its area?
Show answer and reasoning
Count 3 rows with 8 squares each: 3×8=24 square units.
A rectangular garden has area 24 m² and width 6 m. Find its length.
Show answer and reasoning
Area = length×width. 24÷6=4 m.
An outer 9-by-9 rectangle has a 6-by-2 rectangular corner removed. Find the remaining area in square units.
Show answer and reasoning
Outer area 9×9=81; missing area 6×2=12. Subtract to get 69.
A rectangle measures 11 cm by 11 cm. Find its perimeter.
Show answer and reasoning
Trace four outside sides: 11+11+11+11=44 cm.
A 8-by-5 rectangle has a 1-by-3 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.
Show answer and reasoning
The missing outer lengths 1 and 3 are replaced by inside-facing lengths of exactly 1 and 3. Total perimeter remains 2×(8+5)=26.
A rectangle has 5 rows of 7 unit squares. What is its area?
Show answer and reasoning
Count 5 rows with 7 squares each: 5×7=35 square units.
A rectangular garden has area 15 m² and width 3 m. Find its length.
Show answer and reasoning
Area = length×width. 15÷3=5 m.
An outer 10-by-5 rectangle has a 4-by-2 rectangular corner removed. Find the remaining area in square units.
Show answer and reasoning
Outer area 10×5=50; missing area 4×2=8. Subtract to get 42.
A rectangle measures 4 cm by 6 cm. Find its perimeter.
Show answer and reasoning
Trace four outside sides: 4+6+4+6=20 cm.
A 12-by-8 rectangle has a 1-by-6 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.
Show answer and reasoning
The missing outer lengths 1 and 6 are replaced by inside-facing lengths of exactly 1 and 6. Total perimeter remains 2×(12+8)=40.
A rectangle has 8 rows of 5 unit squares. What is its area?
Show answer and reasoning
Count 8 rows with 5 squares each: 8×5=40 square units.
A rectangular garden has area 132 m² and width 12 m. Find its length.
Show answer and reasoning
Area = length×width. 132÷12=11 m.
An outer 12-by-9 rectangle has a 4-by-3 rectangular corner removed. Find the remaining area in square units.
Show answer and reasoning
Outer area 12×9=108; missing area 4×3=12. Subtract to get 96.
A rectangle measures 5 cm by 3 cm. Find its perimeter.
Show answer and reasoning
Trace four outside sides: 5+3+5+3=16 cm.
A 14-by-9 rectangle has a 7-by-4 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.
Show answer and reasoning
The missing outer lengths 7 and 4 are replaced by inside-facing lengths of exactly 7 and 4. Total perimeter remains 2×(14+9)=46.
A rectangle has 4 rows of 5 unit squares. What is its area?
Show answer and reasoning
Count 4 rows with 5 squares each: 4×5=20 square units.
A rectangular garden has area 12 m² and width 3 m. Find its length.
Show answer and reasoning
Area = length×width. 12÷3=4 m.
An outer 11-by-5 rectangle has a 9-by-3 rectangular corner removed. Find the remaining area in square units.
Show answer and reasoning
Outer area 11×5=55; missing area 9×3=27. Subtract to get 28.