the area of largest square is (f+g)(f+g).Write the area of the largest square as the sum of the areas of the smaller squares and rectangles.

Question

there is one big square with 4 smaller squares inside like columns and rows. the first column is f and the second is g. the first row is f and the second row is g as shown below

       f         g

 

f

 

 

g

Answer 1

There are two squares: one f x f the other g x g. The area of these is f² + g².

There are two rectangles each f x g. The area of these is 2f(g).

 

The area of the large square is f² + 2f(g) + g².