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Section 10.1 – Area: Parallelograms

Section 10.1 – Area: Parallelograms. pages 522 - 526. The area of a figure is the number of square units it encloses. The rectangle outlined in red encloses 8 square units, each with area 1 cm 2 (1 square centimeter). So, the area of the rectangle is 8 cm 2.

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Section 10.1 – Area: Parallelograms

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  1. Section 10.1 – Area: Parallelograms pages 522 - 526

  2. The area of a figure is the number of square units it encloses. The rectangle outlined in red encloses 8 square units, each with area 1 cm2 (1 square centimeter). So, the area of the rectangle is 8 cm2. You can use the formula A = bh to find the area of a rectangle, where b is the length of one side and h is the length of the other. For the rectangle above, A = 4 • 2 = 8. So, the area is 8 cm2.

  3. When you find area, the dimensions must be in the same unit. Example 1: Find the area of the marching band's rectangular banner. step 1: Change the units so that they are the same. step 2: Find the area. The area of the banner is 21 ft2.

  4. Check Understanding: a. Find the area of the rectangle. b. Find the area of the rectangle.

  5. A rectangle is a special kind of parallelogram. The formula for the area of a parallelogram follows from the formula for the area of a rectangle. The height h of a parallelogram is the length of an altitude. An altitude is a line segment perpendicular to the line containing a base of the figure and drawn from the side opposite that base.

  6. Area of a Parallelogram The area of a parallelogram is the product of any base length b and the corresponding height h.

  7. Example 2: Finding area of a parallelogram

  8. Check Understanding a. Find the area of the parallelogram.             b. Find the area of the parallelogram.                     

  9. Homework • pages 524 - 525 • #s 1-15, 26-29 • DRAW DIAGRAMS and • write problems and answers, EXCEPT for word problems and multiple-choice problems • SHOW ALL WORK! • failure to write problems and/or show work will result in either receiving partial or no credit

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