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MA.912.G.2.5 Perimeter and Area of Polygons

What You Need To Know...

Explain and apply formulas for perimeter and area of polygons.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may require the use of the apothem to find solutions.
  3. Polygons may include triangles, quadrilaterals, pentagons, etc.

Example One

Marisol is creating a custom window frame that is in the shape of a regular hexagon.  She wants to find the area of the hexagon to determine the amount of glass needed.  She measured diagonal d and determined it was 40 inches.  A diagram of the window frame is shown below.



Which of the following is closest to the area, in square inches, of the hexagon?

  1. 600
  2. 849
  3. 1,039
  4. 1,200


Example Two

A package shaped like a rectangular prism needs to be mailed.  For this package to be mailed at the standard parcel-post rate, the sum of the length of the longest side and the girth (the perimeter around its other two dimensions) must be less than or equal to 108 inches (in.).  Figure 1 shows how to measure the girth of a package.



What is the sum of the length, in inches, of the longest side and the girth of the package shown in Figure 2?

Blank Grid.jpg


Additional Examples



Regular Polygon Perimeter

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Simple Polygon Area

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Area of a Trapezoid

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Area of a Rhombus

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More Area & Perimeter

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Using the Apothem

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Reference Sheet