Area Challenge Review
Area Challenge Review
Grade 3 Math • Area & Square Units
Name: ____________________________
Date: ____________________________
Directions: Read each question carefully. Use the white work spaces to show your thinking.
1
Each small square in the grid below has an area of 1 square unit. What is the area of the shaded figure?
1 square = 1 square unit
A 10 square units
B 12 square units
C 16 square units
D 18 square units
2
Maya is making a rectangular poster for a science fair. The poster is 7 inches long and 4 inches wide. What is the area of Maya's poster?
7 inches
4 inches
Show your work:
Area =
number
units
3
A rectangle has a length of 6 units and a width of 3 units. Which two expressions can be used to find the area of the rectangle?
Select TWO correct answers.
A. \(6 + 3\)
B. \(6 \times 3\)
C. \(6 + 6 + 3 + 3\)
D. \(6 + 6 + 6\)
E. \(3 \times 3 \times 6\)
Area Challenge Review Page 2
4
The area of a rectangular rug is 32 square feet. The width of the rug is 4 feet. What is the length of the rug?
? feet
Area = 32 sq ft
4 feet
Show your work:
A 6 feet
B 8 feet
C 28 feet
D 36 feet
5
Look at the figure below. All corners are right angles.
What is the total area of the figure? Break the figure into two smaller rectangles to show how you solved it.
3 cm 7 cm 6 cm 4 cm 3 cm
Figure not drawn to scale
Show your equations and total area:
Total Area =
number
units
Area Challenge Answer Key
Area Challenge Answer Key
Teacher Resource • Grade 3 Area Review
5 Questions
1
Counting Unit Squares Answer: B (12 square units)
Count the shaded squares by row: \(4 + 4 + 2 + 2 = 12\text{ square units}\) (or split into a \(4 \times 2\) rectangle and a \(2 \times 2\) square: \(8 + 4 = 12\)).
2
Multiplying Side Lengths Answer: 28 square inches
Number: \(28\) | Units: square inches (or sq in.). Multiply length \(\times\) width: \(7 \times 4 = 28\).
Watch for: Students who write "inches" instead of "square inches", or add \(7 + 4 = 11\) or \(7 + 7 + 4 + 4 = 22\) (perimeter).
3
Multi-Select Expressions Answers: B and D
B. \(6 \times 3 = 18\) and D. \(6 + 6 + 6 = 18\) both represent 3 rows of 6 unit squares.
Watch for: Option C (\(6 + 6 + 3 + 3\)) is a common distractor because it calculates perimeter, not area.
4
Missing Side Length Answer: B (8 feet)
Use the unknown-factor equation \(? \times 4 = 32\) or divide \(32 \div 4 = 8\text{ feet}\).
Watch for: Option C (\(32 - 4 = 28\)) or Option D (\(32 + 4 = 36\)) from subtracting or adding instead of dividing.
5
Decomposing Rectilinear Figures Answer: 33 square centimeters
Number: \(33\) | Units: square centimeters (or sq cm). Accept either valid decomposition:
Method 1: Vertical Split
Left rectangle: \(3 \times 7 = 21\text{ sq cm}\)
Right rectangle: \(3 \times 4 = 12\text{ sq cm}\)
Total: \(21 + 12 = 33\text{ sq cm}\)
Method 2: Horizontal Split
Top rectangle: \(3 \times 3 = 9\text{ sq cm}\)
Bottom rectangle: \(6 \times 4 = 24\text{ sq cm}\)
Total: \(9 + 24 = 33\text{ sq cm}\)
