Area and Perimeter (Advanced) — Answer Key
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
Grade 4: width = area / length = 24 / 6 = 4 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
Grade 4: 45 / 5 = 9 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
Grade 4: 8 x 8 = 64, so side = 8 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
Grade 4: 7 x 4 = 28 and 3 x 2 = 6; 28 + 6 = 34 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.
Grade 4: 36 / 9 = 4 in.
2. A rectangle has area 56 sq ft and width 7 ft. The length is 8 feet.
Grade 4: 56 / 7 = 8 ft.
3. A square has area 81 sq m. The side length is 9 meters.
Grade 4: 9 x 9 = 81, so side = 9 m.
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.
Grade 4: 5 x 6 = 30 and 2 x 3 = 6; 30 + 6 = 36 sq cm.
5. A rectangular yard has area 72 sq ft and length 12 ft. The width is 6 feet.
Grade 4: 72 / 12 = 6 ft.