Question

Calculate x, y, Perimeter and area of the composite geometrical figure?

Answer 1

We should assume that `FG` `||` `CE`, `AB=AI` and `AG=AI`.
Otherwise, the problem is not properly defined.
`x=16`
`y=12`
Area=`896`

Explanation:

From the right triangle `Delta CDE`, using Pythagorean Theorem,
`CD = sqrt(20^2-12^2)=16`

From this follows that `x=AG=AB=CD=16`

Hence,
`y=AD-12-x=40-12-16=12`

Area:
`40*16+16*16=896`