Let’s solve each problem step by step using the distributive property. The idea is to split the big rectangle into two smaller rectangles, find the area of each, and then add them together.
Remember: Area = length × width
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Top Left Rectangle:
- Height = 4 ft
- Split into two parts: 5 ft and 2 ft wide
→ So we have two rectangles:
- First: 4 ft × 5 ft
- Second: 4 ft × 2 ft
Calculate:
= (4 × 5) + (4 × 2)
= 20 + 8
=
28 square feet
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Top Right Rectangle:
- Height = 3 ft
- Split into 2 ft and 3 ft wide
→ Two rectangles:
- First: 3 ft × 2 ft
- Second: 3 ft × 3 ft
Calculate:
= (3 × 2) + (3 × 3)
= 6 + 9
=
15 square feet
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Middle Left Rectangle:
- Height = 3 ft
- Split into 4 ft and 4 ft wide
→ Two rectangles:
- First: 3 ft × 4 ft
- Second: 3 ft × 4 ft
Calculate:
= (3 × 4) + (3 × 4)
= 12 + 12
=
24 square feet
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Middle Right Rectangle:
- Height = 4 ft
- Split into 2 ft and 3 ft wide
→ Two rectangles:
- First: 4 ft × 2 ft
- Second: 4 ft × 3 ft
Calculate:
= (4 × 2) + (4 × 3)
= 8 + 12
=
20 square feet
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Bottom Left Rectangle:
- Height = 2 ft
- Split into 4 ft and 2 ft wide
→ Two rectangles:
- First: 2 ft × 4 ft
- Second: 2 ft × 2 ft
Calculate:
= (2 × 4) + (2 × 2)
= 8 + 4
=
12 square feet
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Bottom Right Rectangle:
- Height = 4 ft
- Split into 3 ft and 4 ft wide
→ Two rectangles:
- First: 4 ft × 3 ft
- Second: 4 ft × 4 ft
Calculate:
= (4 × 3) + (4 × 4)
= 12 + 16
=
28 square feet
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Final Answer:
Top Left:
= (4 × 5) + (4 × 2)
= 20 + 8
= 28 square feet
Top Right:
= (3 × 2) + (3 × 3)
= 6 + 9
= 15 square feet
Middle Left:
= (3 × 4) + (3 × 4)
= 12 + 12
= 24 square feet
Middle Right:
= (4 × 2) + (4 × 3)
= 8 + 12
= 20 square feet
Bottom Left:
= (2 × 4) + (2 × 2)
= 8 + 4
= 12 square feet
Bottom Right:
= (4 × 3) + (4 × 4)
= 12 + 16
= 28 square feet
Parent Tip: Review the logic above to help your child master the concept of distributive property worksheet 3rd grade.
