This Grade 4 math worksheet helps students compare area and perimeter for rectangles that share the same perimeter. They explore 2 by 6, 4 by 4, 1 by 7, and 3 by 5 rectangles, all with perimeter 16, and discover that a square gives the largest area. Students fill in answers, then match each rectangle to its area, learning that dimensions, not perimeter alone, decide how much surface a Grade 4 shape covers.
Style:
Area and Perimeter (Advanced)
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A 2 by 6 rectangle has a perimeter of 16 units and an area of 12 square units.
2. A 4 by 4 square also has a perimeter of 16 units, with an area of 16 square units.
3. Two shapes can share the same perimeter while having different areas.
4. A 1 by 7 rectangle has a perimeter of 16 units and an area of only 7 square units.
5. Among rectangles with perimeter 16, the square shape gives the largest area.
6. A 3 by 5 rectangle has perimeter 16 and area 15 square units.
7. Perimeter is measured in length units, but area is measured in square units.
8. A square with perimeter 24 cm has each side measuring 6 cm.
9. That same square has an area of 36 square centimeters.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
2 by 6 rectangle, perimeter 16
→ Area 12 square units
Area 12 square units
4 by 4 square, perimeter 16
→ Area 16 square units
Area 16 square units
1 by 7 rectangle, perimeter 16
→ Area 7 square units
Area 7 square units
3 by 5 rectangle, perimeter 16
→ Area 15 square units
Area 15 square units
Area and Perimeter (Advanced)
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) A 2 by 6 rectangle has a perimeter of 16 units and an area of 12 square units.
2) A 4 by 4 square also has a perimeter of 16 units, with an area of 16 square units.
3) Two shapes can share the same perimeter while having different areas.
4) A 1 by 7 rectangle has a perimeter of 16 units and an area of only 7 square units.
5) Among rectangles with perimeter 16, the square shape gives the largest area.
6) A 3 by 5 rectangle has perimeter 16 and area 15 square units.
7) Perimeter is measured in length units, but area is measured in square units.
8) A square with perimeter 24 cm has each side measuring 6 cm.
9) That same square has an area of 36 square centimeters.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
2 by 6 rectangle, perimeter 16
→ Area 12 square units
Area 12 square units
4 by 4 square, perimeter 16
→ Area 16 square units
Area 16 square units
1 by 7 rectangle, perimeter 16
→ Area 7 square units
Area 7 square units
3 by 5 rectangle, perimeter 16
→ Area 15 square units
Area 15 square units
Ready to Practice?
Complete each section carefully.
10 Questions
10-15 minutes
Auto-graded
Retry anytime
🏆
Questions Correct
0
Correct
0
Incorrect
0
Skipped
0:00
Time
0%
Score
Review Your Answers
See what you got right, missed, or skipped.