This advanced Grade 4 worksheet blends multi-step area and perimeter reasoning. Students find missing sides from perimeter, compute compound T-shape areas, derive perimeter from area, and compare two compound shapes. Multiple choice and fill-in items push deeper thinking aligned with CCSS 4.MD.3 problem solving. Students apply area and perimeter to multi-step real-world challenges, building Grade 4 advanced measurement reasoning and problem solving today.
Style:
Area and Perimeter (Advanced)
Part A: Multiple Choice
Circle the best answer for each question.
1. A rectangle has perimeter 30 ft and length 9 ft. What is the width?
A) 3 ft
B) 5 ft
C) 6 ft
D) 12 ft
2. A T-shape has a 6 m by 3 m rectangle and a 4 m by 2 m rectangle. Total area?
A) 18 sq m
B) 22 sq m
C) 26 sq m
D) 30 sq m
3. A rectangle has area 100 sq cm and width 10 cm. What is the perimeter?
A) 20 cm
B) 30 cm
C) 40 cm
D) 50 cm
4. Which compound shape has the larger area: A) two 5x4 rectangles, or B) one 6x7 rectangle plus a 2x2 square?
A) A is larger
B) B is larger
C) They are equal
D) Cannot tell
Part B: Fill in the Blank
Write the correct answer on each line.
1. A rectangle has perimeter 40 m and width 8 m. The length is 12 meters.
2. An L-shape has a 9 ft by 5 ft rectangle and a 4 ft by 3 ft rectangle. The total area is 57 square feet.
3. A rectangle has area 84 sq in and length 12 in. The width is 7 inches.
4. A square has perimeter 32 cm. Its area is 64 square centimeters.
5. A T-shape has a 10 m by 4 m rectangle and a 5 m by 3 m rectangle. The total area is 55 square meters.
Area and Perimeter (Advanced)
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A rectangle has perimeter 30 ft and length 9 ft. What is the width?
A) 3 ft
B) 5 ft
C) 6 ft
D) 12 ft
2. A T-shape has a 6 m by 3 m rectangle and a 4 m by 2 m rectangle. Total area?
A) 18 sq m
B) 22 sq m
C) 26 sq m
D) 30 sq m
3. A rectangle has area 100 sq cm and width 10 cm. What is the perimeter?
A) 20 cm
B) 30 cm
C) 40 cm
D) 50 cm
4. Which compound shape has the larger area: A) two 5x4 rectangles, or B) one 6x7 rectangle plus a 2x2 square?
A) A is larger
B) B is larger
C) They are equal
D) Cannot tell
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A rectangle has perimeter 40 m and width 8 m. The length is 12 meters.
2) An L-shape has a 9 ft by 5 ft rectangle and a 4 ft by 3 ft rectangle. The total area is 57 square feet.
3) A rectangle has area 84 sq in and length 12 in. The width is 7 inches.
4) A square has perimeter 32 cm. Its area is 64 square centimeters.
5) A T-shape has a 10 m by 4 m rectangle and a 5 m by 3 m rectangle. The total area is 55 square meters.
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9 Questions
12-18 minutes
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