Trapezoids

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1

Find the area of the following trapezoid:

Trapezoid

Explanation

The formula for the area of a trapezoid is:

$A = \frac{1}{2}(b_{1}+b_{2})(h)$

Where is the length of one base, is the length of the other base, and is the height.

To find the height of the trapezoid, use a Pythagorean triple:

Plugging in our values, we get:

$A = \frac{1}{2}(b_{1}+b_{2})(h)$

$A = \frac{1}{2}(16m+26m)(12m)=252m^2$

2

Determine the area of the following trapezoid:

Screen_shot_2014-02-27_at_6.39.24_pm

Explanation

The formula for the area of a trapezoid is:

$A=\frac{1}{2}(b_{1}+b_{2})(h)$ ,

where is the length of one base, is the length of another base, and is the length of the height.

Plugging in our values, we get:

$A=\frac{1}{2}(7m+5m)(4m)=24m^2$

3

Determine the area of the following trapezoid:

Screen_shot_2014-02-27_at_6.39.24_pm

Explanation

The formula for the area of a trapezoid is:

$A=\frac{1}{2}(b_{1}+b_{2})(h)$ ,

where is the length of one base, is the length of another base, and is the length of the height.

Plugging in our values, we get:

$A=\frac{1}{2}(7m+5m)(4m)=24m^2$

4

Find the area of the following trapezoid:

Trapezoid

Explanation

The formula for the area of a trapezoid is:

$A = \frac{1}{2}(b_{1}+b_{2})(h)$

Where is the length of one base, is the length of the other base, and is the height.

To find the height of the trapezoid, use a Pythagorean triple:

Plugging in our values, we get:

$A = \frac{1}{2}(b_{1}+b_{2})(h)$

$A = \frac{1}{2}(16m+26m)(12m)=252m^2$

5

Find the perimeter of the following trapezoid:

Trapezoid

Explanation

The formula for the perimeter of a trapezoid is:

$P= b_{1} +b_{2}+e_{1}+e_{2}$

Where is the base and is the edge

Plugging in our values, we get:

6

Find the area of the following trapezoid:

$144\ m^2$

$142\ m^2$

$140\ m^2$

$138\ m^2$

$146\ m^2$

Explanation

The formula for the area of a trapezoid is

.

Use the Pythagorean Theorem to find the length of the height:

$(5\ m)^2 + B^2 = (13\ m)^2$

$B = 12\ m$

Plugging in our values, we get:

$A = (12\ m)(12\ m)$

$A = 144\ m^2$

7

Find the area of the following trapezoid:

$144\ m^2$

$142\ m^2$

$140\ m^2$

$138\ m^2$

$146\ m^2$

Explanation

The formula for the area of a trapezoid is

.

Use the Pythagorean Theorem to find the length of the height:

$(5\ m)^2 + B^2 = (13\ m)^2$

$B = 12\ m$

Plugging in our values, we get:

$A = (12\ m)(12\ m)$

$A = 144\ m^2$

8

Determine the perimeter of the following trapezoid:

Screen_shot_2014-02-27_at_6.39.24_pm

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:

9

Find the perimeter of the following trapezoid:

Trapezoid

Explanation

The formula for the perimeter of a trapezoid is:

$P= b_{1} +b_{2}+e_{1}+e_{2}$

Where is the base and is the edge

Plugging in our values, we get:

10

Determine the perimeter of the following trapezoid:

Screen_shot_2014-02-27_at_6.39.24_pm

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:

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