Question

Find the area of the shaded region.

Answer 1

`\boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}`

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:

`\boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}`

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

`\tt\longrightarrow \: Area =B×h-l×b`

Put their values accordingly:

`\longrightarrow \tt Area = (12 * 7 - 9 * 5)in {}^(2)`

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

`\tt\longrightarrow \: Area = (84 - 45 ) in {}^(2)`

`\tt\longrightarrow \: Area = 39 \: {in}^(2)`

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

`\rule{225pt}{2pt}`

I hope this helps!