Answer:
[tex] \boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}[/tex]
Step-by-step explanation:
Given:
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
And,
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
To Find:
The Area of Shaded region
Solution:
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:
[tex] \boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}[/tex]
We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .
[tex] \tt\longrightarrow \: Area =B×h-l×b [/tex]
Put their values accordingly:
[tex]\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2} [/tex]
Simplify it.
[Follow BODMAS Rule strictly while simplifying]
[tex] \tt\longrightarrow \: Area = (84 - 45 ) in {}^{2} [/tex]
[tex] \tt\longrightarrow \: Area = 39 \: {in}^{2} [/tex]
Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
