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Math printable worksheets - Measure the area of a square - 3 - Free Printable

Math printable worksheets - Measure the area of a square - 3

Educational worksheet: Math printable worksheets - Measure the area of a square - 3. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Math printable worksheets - Measure the area of a square - 3
Let’s solve each square one by one.

Remember:
To find the area of a square, you multiply the side length by itself.
That means: Area = side × side or side²

---

First Square (top left):
Side = 7.5 cm
Area = 7.5 × 7.5
Let’s calculate:
7.5 × 7.5 = (7 + 0.5) × (7 + 0.5)
= 7×7 + 7×0.5 + 0.5×7 + 0.5×0.5
= 49 + 3.5 + 3.5 + 0.25
= 49 + 7 + 0.25 = 56.25 cm²

Check: 7.5 × 7.5 = 56.25 → Correct

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Second Square (top right):
Side = 8.0 cm
Area = 8.0 × 8.0 = 64.0 cm²

Easy! 8 squared is 64.

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Third Square (bottom left):
Side = 6.0 cm
Area = 6.0 × 6.0 = 36.0 cm²

6 times 6 is 36.

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Fourth Square (bottom right):
Side = 3.8 cm
Area = 3.8 × 3.8
Let’s break it down:
3.8 × 3.8 = (4 - 0.2) × (4 - 0.2)
= 4×4 - 4×0.2 - 0.2×4 + 0.2×0.2
= 16 - 0.8 - 0.8 + 0.04
= 16 - 1.6 + 0.04 = 14.4 + 0.04 = 14.44 cm²

Double-check with direct multiplication:
  3.8
× 3.8
------
  304 ← 38 × 8
+1140 ← 38 × 30 (shifted)
------
 1444 → then move decimal two places → 14.44

Correct!

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Final Answer:
Top Left: 56.25 cm²
Top Right: 64.0 cm²
Bottom Left: 36.0 cm²
Bottom Right: 14.44 cm²
Parent Tip: Review the logic above to help your child master the concept of 3rd grade math area worksheet.
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