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Perimeter of trapezoid bases 6 and 12, sides 5 and 5

Step by step, with the reason for every step · Parallelogram and trapezoid · Geometry

Step by step

The question

Question: find the perimeter of a trapezoid with parallel sides 6 and 12 and slanted sides 5 and 5.

1 Add all the sides

A trapezoid has one pair of parallel sides: the top and the bottom.

In some countries it is called a trapezium.

The perimeter is the way all around the edge.

We add every side.

Walk around and add: top, right side, bottom, left side: 6 + 5 + 12 + 5.

P = 6 + 5 + 12 + 5

6 plus 5 is 11.

P = 11 + 12 + 5

11 plus 12 is 23.

P = 23 + 5

23 plus 5 is 28.

So the perimeter is 28.

P = 28

2 Check

Let's check: add them in another order.

The two parallel sides, then the two slanted sides.

6 + 12 + 5 + 5 = 18 + 10 = 28

We get 28 again.

So the perimeter is right!

Let's look back.

First: add all the sides.

Last: check.

Answer
P = 28

Your turn

Try this one yourself, then check:

Find the perimeter.
Show the answer
P = 37

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