Area and Perimeter (Advanced) — Answer Key
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.
Area equals 2 x 6 = 12 square units, while perimeter is 2(2+6) = 16 units.
2. A 4 by 4 square also has a perimeter of 16 units, with an area of 16 square units.
4 x 4 = 16 square units, showing the same perimeter but a larger area than the 2 by 6.
3. Two shapes can share the same perimeter while having different areas.
Perimeter measures outside, but area depends on dimensions, so areas often differ.
4. A 1 by 7 rectangle has a perimeter of 16 units and an area of only 7 square units.
Skinny rectangles cover less inside space, so area drops to 7 square units even with perimeter 16.
5. Among rectangles with perimeter 16, the square shape gives the largest area.
A 4 by 4 square has the largest area of 16 square units among all perimeter-16 rectangles.
6. A 3 by 5 rectangle has perimeter 16 and area 15 square units.
3 x 5 equals 15 square units, between the skinny rectangle and the square.
7. Perimeter is measured in length units, but area is measured in square units.
Area combines length and width, so we use square units like square cm in Grade 4.
8. A square with perimeter 24 cm has each side measuring 6 cm.
Because all four sides are equal, 24 divided by 4 gives a side length of 6 cm.
9. That same square has an area of 36 square centimeters.
With side 6 cm, the area is 6 x 6 = 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
Each rectangle shares perimeter 16, but its dimensions decompose into different areas, showing how shape changes coverage.