How to Find the Area of Geometric Shapes

How to Find the Area of Geometric Shapes thumbnail
Find the Area of Geometric Shapes

The area of a geometric shape is represented by how many square units cover the shape entirely. A formula is used to find the area of geometric figures. The area of geometric shapes is always written in units squared.

Instructions

    • 1

      Identify the name of the shape (square, rectangle, circle) you want to find the area of.

    • 2

      Find the formula used to calculate the area of your identified shape. For example, the formula for finding the area of a rectangle is: Area of a rectangle=lw, where l=length and w=width.

    • 3

      Utilize the formula to find the area. For example, if l= 3 cm and w=6 cm, then lw=18 cm.

    • 4

      Write your answer in units squared. If 18 cm is the answer, then the area is 18 cm-2.

Tips & Warnings

  • Commonly Used Area Formulas:\n\nArea of a square=s-2, where s=side\n\nArea of a rectangle=lw, where l=length and w=width.\n\nArea of a circle=?r-2, where r=radius\n\nArea of a parallelogram=bh, where b=base and h=height of the altitude\n\nArea of a triangle=1/2bh, where b=base and h=height of the altitude\n\nArea of a trapezoid=1/2h(b(1)+b(2)), where h=height of the altitude, b(1)=one of the bases, and b(2)=the other base\n\nNote: A with the shape written as a subscript is usually how areas of shapes are denoted (Asquare). In the area formula for the trapezoid, the numbers in b(1)+b(2) are usually written as a subscript also.

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  • Photo Credit geometry image by Alexey Klementiev from Fotolia.com

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