This Grade 4 math worksheet challenges students to decompose compound shapes such as L, T, and plus figures into rectangles. They split each shape, multiply length by width, and add areas, including subtracting overlaps in plus signs. Multiple choice problems give totals like 30, 26, and 45 square units, while fill-in items reinforce vocabulary like decompose and overlap, helping Grade 4 learners master complex polygon areas through clear, additive reasoning steps.
Style:
Area and Perimeter (Advanced)
Part A: Multiple Choice
Circle the best answer for each question.
1. An L-shape splits into a 6 by 4 rectangle and a 3 by 2 rectangle. What is its total area?
A) 30 square units
B) 24 square units
C) 18 square units
D) 32 square units
2. A T-shape decomposes into a 8 by 2 top bar and a 2 by 5 stem. What is its area?
A) 26 square units
B) 21 square units
C) 16 square units
D) 40 square units
3. A plus shape is made of a 3 by 9 horizontal bar and a 9 by 3 vertical bar that overlap on a 3 by 3 center. What is its area?
A) 45 square units
B) 54 square units
C) 27 square units
D) 63 square units
4. A compound shape decomposes into rectangles of 5 by 4, 3 by 2, and 6 by 1. What is the total area?
A) 32 square units
B) 29 square units
C) 26 square units
D) 20 square units
Part B: Fill in the Blank
Write the correct answer on each line.
1. To find the area of an L-shape, you decompose it into rectangles.
2. An L-shape with parts 6 by 4 and 3 by 2 has total area 30 square units.
3. When two bars of a plus shape overlap, you must subtract the overlap once.
4. A T-shape with a 8 by 2 top and 2 by 5 stem has area 26 square units.
5. Compound shape areas are always reported in square units.
Area and Perimeter (Advanced)
★ Part A: Multiple Choice
Circle the best answer for each question.
1. An L-shape splits into a 6 by 4 rectangle and a 3 by 2 rectangle. What is its total area?
A) 30 square units
B) 24 square units
C) 18 square units
D) 32 square units
2. A T-shape decomposes into a 8 by 2 top bar and a 2 by 5 stem. What is its area?
A) 26 square units
B) 21 square units
C) 16 square units
D) 40 square units
3. A plus shape is made of a 3 by 9 horizontal bar and a 9 by 3 vertical bar that overlap on a 3 by 3 center. What is its area?
A) 45 square units
B) 54 square units
C) 27 square units
D) 63 square units
4. A compound shape decomposes into rectangles of 5 by 4, 3 by 2, and 6 by 1. What is the total area?
A) 32 square units
B) 29 square units
C) 26 square units
D) 20 square units
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) To find the area of an L-shape, you decompose it into rectangles.
2) An L-shape with parts 6 by 4 and 3 by 2 has total area 30 square units.
3) When two bars of a plus shape overlap, you must subtract the overlap once.
4) A T-shape with a 8 by 2 top and 2 by 5 stem has area 26 square units.
5) Compound shape areas are always reported in square units.
Ready to Practice?
Complete each section carefully.
9 Questions
12-18 minutes
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