Area and Perimeter (Advanced) — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. An L-shape is made of a 7 ft by 5 ft rectangle and a 3 ft by 2 ft rectangle. Total area is 41 square feet.
Grade 4: 7 x 5 = 35 and 3 x 2 = 6; 35 + 6 = 41 sq ft.
2. A rectangle is 12 m by 5 m. Its area is 60 square meters.
Grade 4: 12 x 5 = 60 sq m.
3. A rectangle is 9 in by 6 in. Its perimeter is 30 inches.
Grade 4: 2(9) + 2(6) = 18 + 12 = 30 in.
4. A T-shape is made of a 4 cm by 8 cm rectangle and a 3 cm by 2 cm rectangle. Total area is 38 square centimeters.
Grade 4: 4 x 8 = 32 and 3 x 2 = 6; 32 + 6 = 38 sq cm.
5. A square garden has side 11 m. Its area is 121 square meters.
Grade 4: 11 x 11 = 121 sq m.
6. A rectangular rug is 8 ft by 3 ft. Its perimeter is 22 feet.
Grade 4: 2(8) + 2(3) = 16 + 6 = 22 ft.
7. A rectangular kitchen is 14 ft by 10 ft. Its area is 140 square feet.
Grade 4: 14 x 10 = 140 sq ft.
8. An L-shape is split into a 6 m by 6 m square and a 4 m by 2 m rectangle. Total area is 44 square meters.
Grade 4: 6 x 6 = 36 and 4 x 2 = 8; 36 + 8 = 44 sq m.
9. A rectangular desk is 5 ft by 2 ft. Its area is 10 square feet.
Grade 4: 5 x 2 = 10 sq ft.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
L-shape: 5x4 + 2x3 area
→ 26 square units
30 meters
Rectangle 8 cm by 6 cm area
→ 48 square centimeters
26 square units
Square side 9 in perimeter
→ 36 inches
48 square centimeters
Rectangle 11 m by 4 m perimeter
→ 30 meters
36 inches
Grade 4 compound shapes need rectangle splits, while perimeter just sums all sides.