# An isosceles trapezoid has bases of length 23 and 12 centimeters and legs of length 13 centimeters. What is the area of the trapezoid to the nearest tenth?

##### 1 Answer

#### Explanation:

Area of trapezium=

Where

Now in an isoceles trapezium the legs are equal ,and in this case they are in a length of

Now consider the diagram:

Now we will have a short sypnosis of the lengths:

Now we need to find the height:In this case the height is in a right triangle.So,we use the pythagorean theorem:

Where

But we should know the length of

We divide it by

So,

Now,

If we round it off to the nearest tenths we get