How to find the perimeter of a trapezoid

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Math › How to find the perimeter of a trapezoid

Questions 1 - 10

An isosceles trapezoid has two bases that are parallel to each other. The larger base is times greater than the smaller base. The smaller base has a length of inches and the length of non-parallel sides of the trapezoid have a length of inches.

What is the perimeter of the trapezoid?

Explanation

To find the perimeter of this trapezoid, first find the length of the larger base. Then, find the sum of all of the sides. It's important to note that since this is an isosceles trapezoid, both of the non-parallel sides will have the same length.

The solution is:

The smaller base is equal to inches. Thus, the larger base is equal to:

$2.5\times4=10$

, where the length of one of the non-parallel sides of the isosceles trapezoid.

$P=2.5+10+(2\times 4.5)$

You recently bought a new bookshelf with a base in the shape of an isosceles trapezoid. If the small base is 2 feet, the large base is 3 feet, and the arms are 1.5 feet, what is the perimeter of the base of your new bookshelf?

Cannot be determined from the information provided.

Explanation

To find the perimeter of a bookshelf, we need to add up the lengths of the sides.

We know the two bases, we just need to add the lengths of the arms.

So, our answer is 8ft

Dr. Robinson's property is shaped like an isosceles trapezoid. Dr. Robinson gave a contractor the following measurements, so that the contractor can build a wall around the enire property.

Measurements of property:

Find the perimeter of Dr. Robinson's property.

Explanation

The measurements that Dr. Robinson gave to the contractor include the lengths of the two base sides and one of the non-parallel sides of the property. Since Dr. Robinson's property is shaped like an isosceles trapezoid, there must be two non-parallel sides of equal length.

The solution is:

Trapezoid_measures

The height of a trapezoid is cm and the length of $b_{1}$ is cm.

Find the perimeter of the trapezoid to the nearest hundreth.

Explanation

Use the triangle formed by the height of the trapezoid to find the lengths of the two sides of the trapezoid and the length of $b_{2}$ :

$tan(60)=\frac{opposite}{adjacent}$ . $Adjacent=\frac{5}{tan(60)}= 2.89$ cm.

This finds the base of the triangle, which can be added twice to $b_{1}$ to find $b_{2}$ : $b_{2}=8+2.89+2.89=13.78$ cm.

Now, use the same triangle to find the length of the sides.

$sin(60)=\frac{opposite}{hypotenuse}$ . $Hypotenuse=\frac{5}{sin(60)}=5.77$ cm.

Lastly, add all of the lengths together: $b_{1}+b_{2}+2(l)=8+(2.78+2.78+8)+2(5.77)=33.32$ cm.

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:

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:

Find the perimeter of the trapezoid:
Question_12

$\small 21$

$\small 23.5$

$\small 40$

$\small 26$

Explanation

The perimeter of any shape is equal to the sum of the lengths of its sides:

$\small P=4+6+3+8=21$

Find the perimeter of the following trapezoid.

Geo_area2

$50\ ft$

$52\ ft$

$58\ ft$

$64\ ft$

$74\ ft$

Explanation

The answer is 50 ft. In order to find the perimeter, you must find the length of the left side. After some deduction , you can find that the base of the triangle is 6 ft. Then using the Pythagorean Theorem, or 3-4-5 right triangles, you can find that the height of the triangle and rectangle is 8 ft. Geo_area2b