Answer:
2 nd Option
the total area of the two shapes = 21 square units
Explanation:
To find the area of square
From the figure we get one side of square equal to 3√2.
Consider the triangle with hypotenuse as side of square.
Angles are 45°, 45° and 90°, then sides 3 , 3 and 3√2
Therefore one side of square is 3√2
area of square = side * side = 3√2 * 3√2 = 18 square units
To find the area of triangle
The base of triangle = side of square = 3√2
base b = 3√2
Height of triangle is the diagonal of small square which is equal to √2
height h = 3√2
Area of triangle = bh/2 = (3√2 * √2)/2 = 6/2 = 3 square units
To find the total area
Total area = area of square + area of triangle = 18 = 3 = 21 square units.