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Perimeter and Area of Rectangles and Parallelograms

This topic deals with perimeter and area of rectangles and parallelograms, and composite figures formed by them. We also learn to use the graphs to compute the area/perimeter and to solve application problems.

Topic: Area and Perimeter

  • The opposite sides of a parallelogram or a rectangle are equal. The perimeter can be calculated by using the formula: 2(Length) + 2(Width)

  • Area is the number of square units in a figure. The area A of a rectangle or a parallelogram is the base length b times the height h, that is A = bh

  • When the length and the width of the rectangle are doubled, the area becomes four times the original area

  • When the length and the width of the rectangle are doubled, the perimeter becomes twice the original perimeter

  • In general, if the dimensions of a rectangle are multiplied by a factor x, the perimeter also increases x times and the area is multiplied by x2

Topic: Area Using Graphs

  • The length and width of a rectangle graphed on a coordinate plane can be calculated by counting the number of squares. For example, the length along 6 squares is 6 units

  • The height of a parallelogram is the perpendicular distance between its two sides

  • Area of a rectangle = Length x Width

  • Area of a parallelogram = Base x Height

Topic: Composite Figures

  • A composite figure is a figure that is formed by joining a number of other figures

  • The length of the unknown side is same as the length of the opposite side

  • Perimeter is the distance around the outside of a figure. To find the perimeter of a figure, add the lengths of all its sides

  • The area of a composite figure is the sum of the areas of the individual figures that form the composite figure

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