Area of the shaded region = 80 in²
Explanation:
The outer diagram is a square
Area of the square = length × length
length = 12in
Area of the square = 12in × 12in
Area of the square = 144in²
There are 3 smaller squares in each row and column:
The length in each row and colum = 12
the length o fone small box = 12/3 = 4
Area of the smaller box = 4in × 4in = 16 in²
There are 4 boxes unshaded
Area of 4 unshaded boxes = 4 × 16 in² = 64in²
Area of the shaded region = Area of the outer box - area of the unshaded boxes
Area of the shaded region = 144 - 64
Area of the shaded region = 80 in²
