Question

Two identical squares with side-length 12 m intersect as shown. If M is the midpoint of the corresponding side of both the squares, find the area of the shaded region (in m2).​

Answer 1

The area of the shaded region is 1872 m^2.

Explanation:

We are given that:

• Length of one side of square = 12 m
• To find: The area of shaded region "A" = ?

Solution:

The formula to calculate the area of a  square is given below.

Area of one square = Length x length

Area of one square =  [ 12 x 12 ] = 144 m^2

Number of shaded regions = 13

Now the area of the shaded region "A" = 13 x 144 = 1872 m^2

Thus the area of the shaded region is 1872 m^2.