Answer: The area of the given shape is 9.734 meter square
Step-by-step explanation:
The given shape is a square with 4 sides of equal dimensions "a",
Area of Square = Square of its side "a"
Here, a = Hypotenuse of the inner triangle
Step 1: Get the hypotenuse value of the inner right triangle as the base and height dimensions of the right triangle is given.
Step 2: By using Pythagoras theorem,
Square of the base + Square of the height = square of the Hypotenuse
(2.4)^2 + (2.0)^2 = 9.76
Therefore the value of the hypotenuse = 3.12m
The area of the square = 9.734 meter square.