GED Math : Perimeter and Sides of Quadrilaterals

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #331 : Geometry And Graphs

A square and a right triangle share a side as shown by the figure below.

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Find the area of the square.

Possible Answers:

Correct answer:

Explanation:

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Notice that the side of the square is the same as the hypotenuse of the right triangle.

Use Pythagorean's theorem to find the length of the hypotenuse.

Now that we have the length of a side of the square, find the area.

Example Question #332 : Geometry And Graphs

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Find the perimeter of trapezoid  if .

Possible Answers:

Correct answer:

Explanation:

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Since we know that , we can set up the following ratio to find the lengths of  and  because of the  triangle.

Using that value,

Thus, we can find the perimeter of the trapezoid.

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Example Question #333 : Geometry And Graphs

What is the perimeter of a square that has an area of ?

Possible Answers:

Correct answer:

Explanation:

First we need to recognize that in order to find perimeter we first need to figure out the length of each side of the square. The formula for area of a square is

 

where  is side

To solve for  we need to take the square root of both sides

Now that we know our side length is 13, we can plug it into our perimeter equation and solve for s

We multiply 4 and 13

Notice our answer is in ft because perimeters are linear

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