Table of Contents

  1. Perimeter
  2. Triangles
  3. Parallelogram
  4. Trapezoid

Perimeter

Geometry is the area of mathematics concerned with the size, shape, and relative position of figures and properties in space. The GMAT requires you to have an intimate knowledge of how to calculate the length, area, and volume of common objects.

A polygon is any plane figure bounded by a closed path. This includes: circles, squares, rectangles, triangles, parallelograms, pentagons etc.

The perimeter is the sum of the lengths of all the sides in a polygon.

Example

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The perimeter of this figure is 3 + 7 + 3 + 7 = 20

Area is the two dimensional size of a defined part or surface.

Triangles

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Example

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In the example above, 4 is the base, 3 is the height. Plug these values into the formula and the area of the triangle equals 6.

Parallelogram

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Example

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Trapezoid

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Example

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A shortcut to remember this formula is remembering that this is the exact same formula as the formula for parallelograms. The only difference is that instead of multiplying the base by the height, we are averaging the top and bottom bases and multiplying the average base length with height to find the trapezoid area.


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