Respuesta :

Answer:

The answer to your question is 13 u²

Step-by-step explanation:

We know that the small triangle is surrounded by right triangles so we can use the Pythagorean theorem to find the lengths  of the small triangle

                 AD² = 3² + 2²

Simplify

                 AD² = 9 + 4

                 AD² = 13

                 AD = [tex]\sqrt{13}[/tex]

Find the area of the square

Area = side x side

Area = AD x AD

Area = [tex]\sqrt{13} x \sqrt{13}[/tex]

Area = 13 u²