Create a rectangle with a length of 5 units and width of 3 units. Place unit squares along the length and notice that 5 unit squares fit along a length of 5 units. Next, place rows of 5 unit squares along the width and notice that 3 rows of 5 unit squares fit along a width of 3 units. The rectangle has an area of 5 + 5 + 5 square units, or 5 × 3 square units, or 15 square units. To find the area of any rectangle, multiply the length ℓ by the width w. So a rectangle with a length of 3 units and width of 6 units has an area of 3 × 6, or 18 square units. You can confirm the formula works by counting the number of unit squares inside the figure.

Area of Rectangles using the Brainingcamp Geoboard virtual manipulative.

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