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Find the area of rectangles

Area of a rectangle represents the amount of two-dimensional surface covered, measured in square units that tile the region; it can be determined by multiplying the lengths of two perpendicular sides, A=l×wA = l \times w. The relationship is connected to rectangular arrays and decomposition, requires compatible linear units, and distinguishes area from perimeter; whole-number, decimal, and fractional measurements are included, but areas of nonrectangular or curved figures and more advanced symbolic generalizations are not.

Detailed Explanation: Find the area of rectangles

The area of a rectangle is the amount of surface inside it. To find the area, multiply its length by its width:

A=l×wA = l \times w

Make sure both measurements use the same unit. The answer is written in square units.

Example: Find the area of a rectangle that is 88 centimeters long and 33 centimeters wide.

  1. Identify the measurements:

    • Length: l=8 cml = 8\text{ cm}
    • Width: w=3 cmw = 3\text{ cm}

  2. Substitute the measurements into the formula:

A=8×3A = 8 \times 3

  1. Multiply:

A=24A = 24

  1. Write the unit as square centimeters:

24 cm2\boxed{24\text{ cm}^2}

The rectangle has an area of 24 square centimeters. This means it could be covered by 24 square tiles, each measuring 1 cm×1 cm1\text{ cm} \times 1\text{ cm}. Area measures the space inside a shape, while perimeter measures the distance around it.

Learn by doing: Find the area of rectangles

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    Area of a Rectangle (sides below 10) - Image to Area

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