Test Your Knowledge: Decomposed Polygon Area Questions (Grade 6)

📚 Quick Study Guide

📐 Polygon Area: The area of a polygon is the amount of space inside its boundaries. ➕ Decomposition: Breaking down a complex polygon into simpler shapes like rectangles and triangles. 📏 Rectangle Area: Area of a rectangle = length $\times$ width ($\A = l \times w$). 🔶 Triangle Area: Area of a triangle = $\frac{1}{2} \times$ base $\times$ height ($\A = \frac{1}{2}bh$). 🔢 Total Area: Sum the areas of all the simpler shapes to find the total area of the polygon. 💡 Tips: Make sure all measurements are in the same units before calculating the area. Draw diagrams to help visualize the shapes.

Practice Quiz

1. What is the first step in finding the area of a decomposed polygon?
   1. A. Calculate the perimeter.
   2. B. Decompose the polygon into simpler shapes.
   3. C. Measure all the angles.
   4. D. Find the center of the polygon.
2. A rectangle has a length of 8 cm and a width of 5 cm. What is its area?
   1. A. 13 cm²
   2. B. 40 cm²
   3. C. 26 cm²
   4. D. 85 cm²
3. A triangle has a base of 6 inches and a height of 4 inches. What is its area?
   1. A. 24 inches²
   2. B. 10 inches²
   3. C. 12 inches²
   4. D. 20 inches²
4. A decomposed polygon consists of a rectangle (10 m x 4 m) and a triangle (base 5 m, height 4 m). What is the total area of the polygon?
   1. A. 40 m²
   2. B. 10 m²
   3. C. 50 m²
   4. D. 60 m²
5. What formula is used to calculate the area of a rectangle?
   1. A. $A = \frac{1}{2}bh$
   2. B. $A = s^2$
   3. C. $A = l \times w$
   4. D. $A = \pi r^2$
6. A decomposed polygon has two identical triangles each with a base of 4 cm and height of 3 cm. What's the combined area of both triangles?
   1. A. 6 cm²
   2. B. 12 cm²
   3. C. 24 cm²
   4. D. 36 cm²
7. A square with a side of 5 cm is attached to a rectangle with a length of 7cm and width of 3 cm. What is the total area?
   1. A. 34 cm²
   2. B. 22 cm²
   3. C. 46 cm²
   4. D. 50 cm²