This Grade 4 challenge worksheet asks students to find missing dimensions when the area is known by dividing area by a given side. Multiple choice and fill-in items also include compound L-shape areas and squares, encouraging students to reason backward and apply division alongside multiplication, all aligned to CCSS 4.MD.3. Students reverse-engineer dimensions when only area or perimeter is given, building Grade 4 algebraic thinking through measurement contexts.
Style:
Area and Perimeter (Advanced)
Part A: Multiple Choice
Circle the best answer for each question.
1. A rectangle has area 24 sq ft and length 6 ft. What is the width?
A) 3 ft
B) 4 ft
C) 6 ft
D) 8 ft
2. A rectangle has area 45 sq m and width 5 m. What is the length?
A) 5 m
B) 8 m
C) 9 m
D) 10 m
3. A square has area 64 sq cm. What is the side length?
A) 6 cm
B) 7 cm
C) 8 cm
D) 16 cm
4. An L-shape is made of a 7 m by 4 m rectangle and a 3 m by 2 m rectangle. What is the total area?
A) 28 sq m
B) 30 sq m
C) 34 sq m
D) 42 sq m
Part B: Fill in the Blank
Write the correct answer on each line.
1. A rectangle has area 36 sq in and length 9 in. The width is 4 inches.
2. A rectangle has area 56 sq ft and width 7 ft. The length is 8 feet.
3. A square has area 81 sq m. The side length is 9 meters.
4. An L-shape has a 5 cm by 6 cm rectangle and a 2 cm by 3 cm rectangle. The total area is 36 square centimeters.
5. A rectangular yard has area 72 sq ft and length 12 ft. The width is 6 feet.
Area and Perimeter (Advanced)
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A rectangle has area 24 sq ft and length 6 ft. What is the width?
A) 3 ft
B) 4 ft
C) 6 ft
D) 8 ft
2. A rectangle has area 45 sq m and width 5 m. What is the length?
A) 5 m
B) 8 m
C) 9 m
D) 10 m
3. A square has area 64 sq cm. What is the side length?
A) 6 cm
B) 7 cm
C) 8 cm
D) 16 cm
4. An L-shape is made of a 7 m by 4 m rectangle and a 3 m by 2 m rectangle. What is the total area?
A) 28 sq m
B) 30 sq m
C) 34 sq m
D) 42 sq m
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A rectangle has area 36 sq in and length 9 in. The width is 4 inches.
2) A rectangle has area 56 sq ft and width 7 ft. The length is 8 feet.
3) A square has area 81 sq m. The side length is 9 meters.
4) An L-shape has a 5 cm by 6 cm rectangle and a 2 cm by 3 cm rectangle. The total area is 36 square centimeters.
5) A rectangular yard has area 72 sq ft and length 12 ft. The width is 6 feet.
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9 Questions
12-18 minutes
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