The length is not provided and need to find the shaded area

The Area of Shaded region is 98 square inch

Step-by-step explanation:

In this given figure

length = 8 in = 3 + x

breadth = 4 + y

In a Rectangle

a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two

Now, let the smaller side be x and bigger side be y

Here, we get the equation

x + 3 = 8

x + 3 - 3 = 8 - 3

x = 5

Here, we get the value of x is 5

Now, By Pythagoras Theorem

x² + y² = 13²

(5)² + y² = 169 (x = 5)

25 + y² = 169

y² + 25 - 25 = 169 - 25

y² = 144

√y² = √144

y = 12

So, breadth = 4 + 12 = 16 inch

Now, For the area of rectangle

A = l × b

A = 8 × 16 in

A = 128 square inch

In a given triangle,

b = y = 12 in

h = x = 5 in

Now, For the area of Triangle

A = ½ × b × h

A = ½ × 12 × 5 in

A = 6 × 5 in

A = 30 Square inch

So, For the shaded area,

= Area of Rectangle - Area of triangle

= 128 - 30

= 98 square inch

Thus, The Area of Shaded region is 98 square inch

-TheUnknownScientist

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