Answer:
26.75 units²
Explanation:
Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.
Find the area of each then sum all together to get the area of the figure.
✔️Area of Triangle 1 (the biggest triangle):
Area = ½*base*height
height = 3.5
base = 2 + 2 + 5 = 9
Area = ½*9*3.5 = 15.75 units²
✔️Area of Triangle 2 (the medium triangle):
Area = ½*base*height
height = 2
base = 5
Area = ½*5*2 = 5 units²
✔️Area of Triangle 3 (the smallest triangle):
Area = ½*base*height
height = 2
base = 2
Area = ½*2*2 = 2 units²
✔️Area of the square:
Area = s²
s = 2
Area = 2² = 4 units²
✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²