Let’s solve each shape one by one. We’ll use the formulas for area that you’ve learned:
- Rectangle or square: Area = length × width
- Triangle: Area = (base × height) ÷ 2
- Circle: Area = π × radius² (we’re told to use π = 3.14)
We’ll go in order from top left to bottom right.
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Shape ① – Square
It’s a square with side = 6 cm
Area = 6 × 6 =
36 cm²
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Shape ② – Rectangle
Length = 9 cm, Width = 5 cm
Area = 9 × 5 =
45 cm²
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Shape ③ – Right Triangle
Base = 8 m, Height = 7 m
Area = (8 × 7) ÷ 2 = 56 ÷ 2 =
28 m²
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Shape ④ – Circle
Radius = 7 in
Area = π × r² = 3.14 × 7² = 3.14 × 49
Let’s calculate:
3.14 × 49 =
First, 3 × 49 = 147
Then, 0.14 × 49 = let’s do 0.1 × 49 = 4.9 and 0.04 × 49 = 1.96 → total 4.9 + 1.96 = 6.86
So 147 + 6.86 =
153.86 in²
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Shape ⑤ – Triangle
Base = 6 ft, Height = 8 ft
Area = (6 × 8) ÷ 2 = 48 ÷ 2 =
24 ft²
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Shape ⑥ – Square
Side = 10 yd
Area = 10 × 10 =
100 yd²
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Shape ⑦ – Capsule Shape (Rectangle + Two Half-Circles)
This is made of:
- A rectangle in the middle: 10 cm long, 4 cm wide → Area = 10 × 4 = 40 cm²
- Two half-circles on the ends → together they make one full circle with diameter = 4 cm → so radius = 2 cm
Circle area = π × r² = 3.14 × 2² = 3.14 × 4 = 12.56 cm²
Total area = rectangle + circle = 40 + 12.56 =
52.56 cm²
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Shape ⑧ – Circle
Radius = 4 m
Area = π × r² = 3.14 × 4² = 3.14 × 16
Calculate:
3 × 16 = 48
0.14 × 16 = 2.24
Total = 48 + 2.24 =
50.24 m²
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Shape ⑨ – Square
Side = 5 in
Area = 5 × 5 =
25 in²
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Final Answer:
① 36 cm²
② 45 cm²
③ 28 m²
④ 153.86 in²
⑤ 24 ft²
⑥ 100 yd²
⑦ 52.56 cm²
⑧ 50.24 m²
⑨ 25 in²
Parent Tip: Review the logic above to help your child master the concept of area of 2d shapes worksheet.
