You need to find the area of the square and the triangle and add them together.

Square

A= s* s= 6 * 6 =36 meters squared

Triangle

A= (b*h)/2

It is a right triangle so the base and height are the legs of the triangle. They gave you one leg of 4m. The hypotenuse is given since it is the 4th side of the square. It would is 6m. Use the Pythagorean Theorem to find the other leg.

a^2 + b^2 = c^2

4*4 + b^2 = 6*6

16 + b^2 = 36

b^2 = 36-16

b^2 = 20

b = square root of 20 = 4.472

A = (4*4.472)/2 = 8.9

Total area is

 8.9 + 36 = 44.9 meters squared

Hope this helps!