Answer:
The Area of the shaded region would be 100 in^2 .
Step-by-step explanation:
Given:
Check the Attachment.
To Find:
The Area of Shaded Region
Solution:
The Triangle and the Rectangle have the same base(b) that is equal to the length(l) of the rectangle.
Note that Height of the triangle is same as breadth of the rectangle.
Now Let's come in the main solving part :-
We know that the formula of Area of the Triangle is ;
[tex]\boxed{ \rm \: Area \: of \: Triangle= \tt \: 1/2× \rm \: base×height , i.e. \: \tt \: 1/2× \rm\: b×h}[/tex]
Substitute the values where Base= 20 in and Length = 10 in:
[tex] \tt \: Area \: of \: Triangle=1/2×20 \: \times 10[/tex]
Now Solve it.
[tex] \tt \: Area \: of \: Triangle= \cfrac{1}{ \cancel2 {}^{1} } \times \cancel{20} {}^{10} \times 10[/tex]
[tex] \tt \: Area \: of \: T riangle = 10 \times 10[/tex]
[tex] \tt \: Area \: of \: Triangle=\boxed{\tt 100 \: in {}^{2}} [/tex]
Hence, the area of the shaded region is 100 sq.in or 100 in^2 .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
Let me know if you have any questions. :)
