The area of the shaded region is 31 sq. inches calculated from the area of the outer rectangle and the area of the inner rectangle. It is given by the difference between the outer rectangular area and the inner rectangular area.
Area of a rectangle:
Rectangle has 4 sides of two pairs with equal dimensions
So, it has length and width (breadth).
Thus,
Area of the rectangle = l × b
Calculating the areas for the inner and outer rectangles:
The dimensions of the inner rectangle are 8 and 13 inches
Area of the inner rectangle:
[tex]R_i[/tex] = 8 × 13
= 104 sq. inches
The dimensions of the outer rectangle are 9 and 15 inches.
Area of the outer rectangle:
[tex]R_o[/tex] = 9 × 15
= 135 sq. inches
Calculating the area of the shaded region:
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle
⇒ 135 - 104
⇒ 31 sq. inches
Therefore, the area of the shaded region between the outer and inner rectangles is 31 sq. inches.
Learn such an area of shaded region problems here:
https://brainly.com/question/23973962
#SPJ2
