Question

Find the area of the Shaded region below in all of the smaller squares are identical in size

Answer 1

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