Give an explanation to go with your answer! a rectangle is placed symmetrically inside a square. the rectangle has sides of length m and n. find the area of the square in terms of m and n.

Step-by-step explanation:

Look at the picture.

We have the triangles 45° - 45° - 90°. The sides are in ratio 1 : 1 : √2

(look at the second picture).

Therefore we have the equations:

 and  

Solve:

               multiply both sides by √2

              divide both sides by 2

               multiply both sides by √2

            divide both sides by 2

The side length of square is

The area of a square:

hi,

6x times 4 is 24x and 5 times 4 is 20, so the answer is 24x+20.

hope this and for a little humor i am groot.