Answer:
[tex]Shaded = 212.5cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The shaded region
First, calculate the area of the complete rectangle
[tex]Area =Length * Width[/tex]
[tex]Area = 14cm * 25cm[/tex]
[tex]Area = 350cm^2[/tex]
Next, calculate the area of the triangle
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]
[tex]Area = 137.5cm^2[/tex]
Subtract the area to calculate the shaded region area
[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]
[tex]Shaded = 212.5cm^2[/tex]