Let’s solve each shape one by one. We’ll break them into two rectangles (A1 and A2), calculate their areas, then add them for the total.
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First Shape:
It’s an L-shape made of two rectangles.
- Left rectangle (A1): height = 5m, width = 3m → Area = 5 × 3 = 15 m²
- Right rectangle (A2): height = 3m, width = 3m → Area = 3 × 3 = 9 m²
→ Total Area = 15 + 9 =
24 m²
Wait — let’s double-check the diagram. The dashed line splits it vertically. So:
Actually, looking again:
The left part is 5m tall and 3m wide → that’s correct.
The right part is 3m tall and 3m wide → also correct.
Yes, 15 + 9 = 24.
But wait — is the right rectangle really 3m wide? The top says “3m” on the right side, and the bottom matches. Yes.
✔ First shape total:
24 m²
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Second Shape:
This one has a small rectangle on the left and a big square on the right.
Left rectangle (A1): height = 8m, width = 4m → Area = 8 × 4 = 32 m²
Right rectangle (A2): it’s 10m by 10m → Area = 10 × 10 = 100 m²
→ Total Area = 32 + 100 =
132 m²
Check: The dashed line separates them. Left is 4m wide, 8m tall. Right is 10m wide and 10m tall. Correct.
✔ Second shape total:
132 m²
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Third Shape (Carpet in house):
L-shaped again.
Left rectangle (A1): height = 12m, width = 5m → Area = 12 × 5 = 60 m²
Right rectangle (A2): height = 5m, width = 7m → Area = 5 × 7 = 35 m²
→ Total Area = 60 + 35 =
95 m²
Double-check: The vertical part is 12m high and 5m wide. The horizontal part sticks out 7m to the right and is 5m tall. Since the left part is 12m tall and the right part starts at the bottom, its height is only 5m — yes, that matches the label.
✔ Third shape total:
95 m²
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Final Answer:
First shape: A1 = 5 x 3, A2 = 3 x 3, Total Area = 24
Second shape: A1 = 8 x 4, A2 = 10 x 10, Total Area = 132
Third shape: A1 = 12 x 5, A2 = 5 x 7, Total Area = 95
Parent Tip: Review the logic above to help your child master the concept of area of squares and rectangles worksheet.
