P6 Math: Composite figure of Square formed around the edges of a Rectangle

The question below is a relatively uncommon one.

2 pairs of squares are drawn along the edges of a rectangle.
The total area of the 4 squares and the perimeter of the rectangle is known.
With that, students must find out what is the area of the rectangle in the middle.

Such questions appear in Paper 2 of P6 Prelim papers.
Calculator usage is allowed.


Composite rectangles in real life


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