Test questions on determining area by counting squares

📚 Quick Study Guide: Area by Counting Squares

• 📏 Area: The amount of space a two-dimensional shape covers.
• ✅ Counting Squares: Each square represents a unit of area (e.g., square centimeters, square inches).
• ➕ Partial Squares: If a square is partially covered, estimate the fraction of the square that is covered. Usually, if it's more than half, count it as a whole square; if it's less than half, ignore it.
• 🧮 Formula: Area ≈ Number of full squares + Estimated number of partial squares.

✍️ Quiz Time!

1. What is the area of a rectangle that covers 15 full squares and approximately 5 half squares, assuming each square is 1 cm$^2$?
   1. 15 cm$^2$
   2. 17.5 cm$^2$
   3. 20 cm$^2$
   4. 22.5 cm$^2$
2. A shape covers 20 full squares. There are also 8 partial squares, each approximately $\frac{1}{4}$ covered. What's the estimated area?
   1. 20 cm$^2$
   2. 21 cm$^2$
   3. 22 cm$^2$
   4. 24 cm$^2$
3. A figure covers 12 full squares and 6 partial squares. You estimate each partial square is $\frac{1}{2}$ a square unit. The approximate area is:
   1. 12 cm$^2$
   2. 13 cm$^2$
   3. 14 cm$^2$
   4. 15 cm$^2$
4. A shape has 9 full squares and 7 partial squares. Assume each partial square is about half. What is the estimated area?
   1. 10 cm$^2$
   2. 10.5 cm$^2$
   3. 11 cm$^2$
   4. 11.5 cm$^2$
5. If a square grid has squares with sides of 2cm, and a shape covers 5 full squares, what is the area of the shape?
   1. 5 cm$^2$
   2. 10 cm$^2$
   3. 15 cm$^2$
   4. 20 cm$^2$
6. A shape covers 16 full squares. There are 10 partial squares, and each is estimated to be $0.25$ of a square unit. The total approximate area is:
   1. 17.5 cm$^2$
   2. 18 cm$^2$
   3. 18.5 cm$^2$
   4. 19 cm$^2$
7. What is the area of a shape covering 25 full squares and 12 half squares?
   1. 28 cm$^2$
   2. 30 cm$^2$
   3. 31 cm$^2$
   4. 32 cm$^2$