Question: Estimate the area of the following figures.
1.
Solution:
Area = __________
2.
Solution:
Area = __________
3.
Solution:
Area = __________
4.
Solution:
Area = __________
5.
Solution:
Area = __________
6.
Solution:
Area = __________
1. **Problem:** Estimate the area of Figure 1, a small grid triangle/trapezoid shape with a slanted right edge and vertical left edge.
2. **Formula:** For trapezoids, area is given by $$\text{Area} = \frac{(b_1 + b_2)}{2} \times h$$ where $b_1$ and $b_2$ are the lengths of the two parallel bases and $h$ is the height.
3. **Step 1:** Count the grid units for bases and height.
4. **Step 2:** Calculate area using the trapezoid formula.
5. **Step 3:** If the figure is a triangle, use $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$.
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6. **Problem:** Estimate the area of Figure 2, a larger slanted quadrilateral/parallelogram-like grid shape with horizontal top and bottom edges and slanted left and right sides.
7. **Formula:** Area of a parallelogram is $$\text{Area} = \text{base} \times \text{height}$$.
8. **Step 1:** Measure base and height in grid units.
9. **Step 2:** Multiply base by height.
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10. **Problem:** Estimate the area of Figure 3, a small trapezoid grid shape with shorter top base and wider bottom base.
11. **Step 1:** Count bases and height.
12. **Step 2:** Use trapezoid area formula.
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13. **Problem:** Estimate the area of Figure 4, a tall irregular quadrilateral grid shape with slanted top and bottom and mostly vertical sides.
14. **Step 1:** Approximate shape as trapezoid or split into triangles.
15. **Step 2:** Calculate area of each part and sum.
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16. **Problem:** Estimate the area of Figure 5, a wide inverted trapezoid grid shape with long top base and shorter bottom base.
17. **Step 1:** Count bases and height.
18. **Step 2:** Use trapezoid area formula.
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19. **Problem:** Estimate the area of Figure 6, a grid shape with slanted top edge rising to the right and vertical right side.
20. **Step 1:** Approximate as triangle or trapezoid.
21. **Step 2:** Calculate area accordingly.
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**Note:** Without exact grid counts, the exact numeric areas cannot be computed here. The method is to count grid squares or partial squares for bases and heights, then apply the appropriate area formula.
**Final answer:** Use the formulas above with counted grid units to estimate each area.