Flooring of a room 12 m long and 8 m wide is to be designed by squares of maximum possible area. Find the number of square designs required.

Correct option is B

Given:

Length of the room = 12 m
Width of the room = 8 m

Concept Used:

The side of the square should be the greatest common divisor (GCD) of the length and width of the room.

Formula Used:

Number of square designs = (Area of the room) / (Area of one square)

Solution:

The GCD of 12 m and 8 m is 4 m, which means the side of each square will be 4 m.

Area of the room = 12 m * 8 m = 96 square meters

Area of one square = 4 m * 4 m = 16 square meters

Number of square designs = 96 / 16 = 6

Hence, 6 square designs are required.