1. Chapter 10 Area Section 10.1 Areas of Parallelograms and Triangles

2. Warm up (write on a slip of paper, but don’t turn in) Can you answer these? 1.Tell what each letter represents in the formula A = s 2. 2.Tell what each letter represents in the formula A = bh. 3.Find the area and perimeter of a square with sides 5 cm long. 4.The perimeter of a square is 28 cm. What is the area? 5.The area of a square is 64 cm 2. What is the perimeter? 6.Describe or draw: perimeter, diagonal

3. Theorem 10-1 Area of a Rectangle Theorem 10-2 Area of a Parallelogram A base of a parallelogram is any of its sides. The corresponding altitude is a segment perpendicular to the line containing that base, drawn from the side opposite the base. The height is the length of an altitude.

4. Theorem 10-3 Area of a Triangle A base of a triangle is any of its sides. The corresponding height is the length of the altitude to the line containing that base.

5. Area of a Square

6. Area of a Rhombus

7. Area of a Trapezoid

8. Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts.

9. Example 1 Consecutive sides of the figure are perpendicular. Find the area of the total figure. Additional Question: If this was carpet, how much Would you pay if $4.00 sq. ft?

10. Example 2 Find the area of a square with diagonals length 8.

11. Example 3 Find the area of the triangles.

12. Example 4 Find the area of the rhombus.