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Chapter 10 Area

Chapter 10 Area. Section 10.1 Areas of Parallelograms and Triangles. Warm up (write on a slip of paper, but don’t turn in). Can you answer these? Tell what each letter represents in the formula A = s 2 . Tell what each letter represents in the formula A = bh .

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Chapter 10 Area

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  1. Chapter 10Area 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? • Tell what each letter represents in the formula A = s2. • Tell what each letter represents in the formula A = bh. • Find the area and perimeter of a square with sides 5 cm long. • The perimeter of a square is 28 cm. What is the area? • The area of a square is 64 cm2. What is the perimeter? • Describe or draw: perimeter, diagonal

  3. Theorem 10-1 Area of a RectangleTheorem 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.

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