Hello, kingman!
Another approach . . .
The figure is made up of a square and a rectangle.
The ratio of the area of the square to the area of the rectangle is 2:5.
I/4 of the square is shaded.
What fraction of the figure is unshaded?
Let = area of the square.Code:* - - - - - - - * | | | | | C * - + - * | |:::| | | |:A:| | * - - - - - + - * | | | | B | * - - - *
Let = area of the rectangle.
We have: .
We have: .
Then: .
The unshaded area is: .
The total area is: .
Therefore: .