How to find the perimeter of a trapezoid

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Math › How to find the perimeter of a trapezoid

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1

Find the perimeter of the following trapezoid:

Trapezoid

CORRECT

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Explanation

The formula for the perimeter of a trapezoid is:

Where is the base and is the edge

Plugging in our values, we get:

2

Determine the perimeter of the following trapezoid:

Screen_shot_2014-02-27_at_6.39.24_pm

CORRECT

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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:

3

Find the perimeter of the following trapezoid:

19

CORRECT

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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:

4

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.)?

CORRECT

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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.

5

Find the perimeter of the following trapezoid:

Screen_shot_2014-02-27_at_6.47.22_pm

CORRECT

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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:

6

Find the perimeter of the following trapezoid:

Trapezoid_angles

CORRECT

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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: