first find the square root of that area given..
√152 = 12.3288280059379529
= 12. 3288 ft
This will be the length of one side of the square of the uncarpeted floor.
Now, since the length between the mat and the uncarpeted floor is 2ft, you will subtract this from the length we got above..
12.3288 ft - 2ft
to get
10.3288 ft.
Subsequently, the area of the carpet will be
10.3288 ft x 10.3288 ft
to get
106.68410944 sq. ft.
Good Luck...!
