Answer:
32 square units
Step-by-step explanation:
We know that area of triangle is 1/2 × base × height
Also, area of square is side × side
In the following figure, there are three triangles and one square.
Applying the formulae mentioned above, we get
Area of ΔABE = [tex]\frac{1}{2}[/tex] ×BE × AB = [tex]\frac{1}{2}\times 10\times 4=20[/tex] square units
Area of ΔBCF = [tex]\frac{1}{2}[/tex] × BC × CF = 1/2 × 2 × 2 =2 square units
Area of ΔDGE = 1/2 × GE × DG = 1/2 × 2 × 6 = 6 square units
Area of square CDGF = [tex]\left ( CF \right )^2=2^2=4[/tex] square units
Area Of the figure ABCDE = Area of ΔABE + Area of ΔBCF + Area of ΔDGE + Area of square CDGF = 20 + 2 + 6 + 4 = 32 square units
