Question

49. Luke is putting a floor mat on his bathroom floor. The mat is

4 feet wide and 5 feet long. The floor is square with sides that
are 12 feet. The center of the mat is 73 feet from the wall.
X
733 ft
- Floor mat
bes stser pelazar to vilidad
Determine the distance from the edge of the mat, x, to the
opposite wall.

Answer 1

The distance from the edge of the mat to the opposite wall, x, is 52.5 feet.

Step-by-step explanation:

To determine the distance from the edge of the mat, x, to the opposite wall, we can use the Pythagorean theorem.

Since the mat is 4 feet wide and 5 feet long, the diagonal of the mat can be found using the formula sqrt(4^2 + 5^2) = sqrt(16 + 25) = sqrt(41) feet.

The center of the mat is 73 feet from the wall, so half the diagonal length is 41/2 = 20.5 feet.

Therefore, the distance from the edge of the mat to the opposite wall, x, is 73 - 20.5 = 52.5 feet.

Answer 2

54

Step-by-step explanation

(area of mat subtracted from area of room)-center of mat to wall