Answer:
996 sq. in
Step-by-step explanation:
See the attached diagram.
The right triangle has hypotenuse 37 in, and other two sides are 35 in and the half of the side lengths of square, say a in.
So, applying the Pythagoras Theorem we get,
37² = 35² + a²
⇒ a² = 144
⇒ a = 12 in.
Therefore, the side length of the square is 2 × 12 = 24 in.
Now, the area of the total figure is the sum of area of the square and the area of the isosceles triangle.
Area = (24 × 24 ) + 0.5 × 35 × 24 = 996 sq. in. (Answer)
