High School Math : How to find the perimeter of a trapezoid

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : How To Find The Perimeter Of A Trapezoid

This figure is an isosceles trapezoid with bases of 6 in and 18 in and a side of 10 in.Isoceles_trapezoid

What is the perimeter of the isoceles trapezoid (in.)?

Possible Answers:

Correct answer:

Explanation:

The perimeter of the isoceles trapezoid is the sum of all the sides.  You can assume the left side is also 10 in. because it is an isoceles trapezoid. 

Example Question #171 : Plane Geometry

Find the perimeter of the following trapezoid:

Trapezoid

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a trapezoid is:

Where  is the base and  is the edge

Plugging in our values, we get:

Example Question #172 : Geometry

Find the perimeter of the following trapezoid:

Trapezoid_angles

Possible Answers:

Correct answer:

Explanation:

Use the formula for  triangles in order to find the lengths of all the sides and bases.

The formula is:

Where  is the length of the side opposite the .

Beginning with the  side, if we were to create a  triangle, the length of the base is , and the height is .

Creating another  triangle on the left, we find the height is , the length of the base is , and the side is .

 

The formula for the perimeter of a trapezoid is:

Where  is the base and  is the edge

Plugging in our values, we get:

Example Question #172 : Plane Geometry

Determine the perimeter of the following trapezoid:

Screen_shot_2014-02-27_at_6.39.24_pm

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a trapezoid is:

,

where  is the length of the base and  is the length of the edge.

Plugging in our values, we get:

Example Question #173 : Plane Geometry

Find the perimeter of the following trapezoid:

Screen_shot_2014-02-27_at_6.47.22_pm

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a trapezoid is:

,

where  is the length of the base and  is the length of the edge.

Plugging in our values, we get:

Example Question #174 : Plane Geometry

Find the perimeter of the following trapezoid:

19

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a trapezoid is

.

Use the formula for a  triangle to find the length of the base and side:

 

Use the formula for a  triangle to find the length of the base and side:

 

Plugging in our values, we get:

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