# The PERIMETER of isosceles trapezoid ABCD is equal to 80cm. The length of the line AB is 4 times bigger than lenght of a CD line which is 2/5 the lenght of the line BC (or the lines which are the same in lenght). What is the area of the trapezoid?

##
I'm sorry for the grammar mistakes etc.

Thanks!

I'm sorry for the grammar mistakes etc.

Thanks!

##### 1 Answer

Dec 18, 2016

Area of trapezium is

#### Explanation:

Let the trapezium be as shown below:

Here, if we assume smaller side

As such

Hence perimeter is

But perimeter is

Now, we draw perpendiculars fron

hypotenuse is

and hence its height is

and hence as area of trapezium is