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Area of Rectangles and Parallelograms

In this topic, we learn to find the area of rectangles and parallelograms. We also learn to compare changes in area and perimeter along with some problem solving applications.

Topic: Area of Rectangles

  • The area of a figure is a measure of the size of the region enclosed by the figure

  • Area of a rectangle = l x w   where l is length and w is width

  • Area of a square with side s = s x s

  • Area of a rectangle is the number of unit squares enclosed within the rectangle when it is placed on a grid of unit squares

  • Area is measured in square units. For example: square inches (inches2), square feet (ft2), etc

Topic: Change the Figure

  • The area of a figure is a measure of the size of region enclosed by the figure

  • When two similar figures are joined, the area of new figure is increased to 2 times the original area

  • When the dimensions of the figure are doubled, the area increases to 4 times and perimeter increases to 2 times the original

  • When the dimensions of the figure are halved, the area reduces by 4 times and perimeter reduces by 2 times the original

  • Area is measured in square units. For example: square inches (inches2), square feet (ft2), etc

Topic: Area of Parallelograms

  • The area of a figure is a measure of the size of region enclosed by the figure

  • A parallelogram is a quadrilateral with opposite sides parallel

  • Any parallelogram can be represented as a rectangle, which will have the same base length and height as the parallelogram

  • Area of a parallelogram (A) = b x h, where b is the base length and h is the height

  • Area is measured in square units. For example: square inches (inches2), square feet (ft2), etc

Topic: Missing Measurements

  • The area of a figure is a measure of the size of the region enclosed by the figure

  • Use equations and substitution of known values to calculate missing measurements

  • Area of a rectangle = l x w; where l is the length and w is the width

  • Area of a square with side s = s x s

  • Area is measured in square units. For example: square inches (inches2), square feet (ft2), etc

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