Answer:
The Area of Shaded region is 98 square inch
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