Visual Examples: Understanding Area in Everyday Objects

📚 Quick Study Guide

📐 Area is the amount of space inside a 2D shape. 📏 It's measured in square units (e.g., $cm^2$, $m^2$, $in^2$, $ft^2$). ➕ For a rectangle, Area = Length x Width, or $A = L \times W$. 🟦 For a square, Area = Side x Side, or $A = s^2$. 🍕 The area of a circle is calculated using $A = \pi r^2$, where $r$ is the radius and $\pi$ is approximately 3.14159. 📐 To find the area of a triangle use $A = \frac{1}{2} \times base \times height$. 💡 Understanding area helps with everyday tasks like painting a wall, buying carpet, or planting a garden!

🧪 Practice Quiz

1. A rectangular garden is 8 meters long and 5 meters wide. What is the area of the garden?
   1. 3 $m^2$
   2. 13 $m^2$
   3. 40 $m^2$
   4. 85 $m^2$
2. A square tile has a side length of 12 inches. What is the area of the tile?
   1. 12 $in^2$
   2. 24 $in^2$
   3. 48 $in^2$
   4. 144 $in^2$
3. A circular pizza has a radius of 10 cm. What is the approximate area of the pizza (using $\pi = 3.14$)?
   1. 31.4 $cm^2$
   2. 62.8 $cm^2$
   3. 100 $cm^2$
   4. 314 $cm^2$
4. A triangular flag has a base of 30 cm and a height of 20 cm. What is the area of the flag?
   1. 250 $cm^2$
   2. 300 $cm^2$
   3. 600 $cm^2$
   4. 500 $cm^2$
5. A rectangular wall is 10 feet high and 15 feet wide. How much paint is needed to cover the wall if 1 gallon covers 100 square feet?
   1. 1.5 gallons
   2. 2 gallons
   3. 2.5 gallons
   4. 3 gallons
6. The area of a square is 64 $m^2$. What is the length of one side?
   1. 4 m
   2. 6 m
   3. 8 m
   4. 16 m
7. A circular rug has a diameter of 4 meters. What is the approximate area of the rug (using $\pi = 3.14$)?
   1. 6.28 $m^2$
   2. 12.56 $m^2$
   3. 25.12 $m^2$
   4. 50.24 $m^2$