Question

Chris is tiling the bathroom floor. For a tile to fit in the corner of the room, he must cut it as shown below.

If x = 3, y = 12, and z = 9, what is the area of the tile being used?
A.
54 sq ft
B.
108 sq ft
C.
58.5 sq ft
D.
81 sq ft

Answer 1

D. 81 sq. ft.

Explanation:

We know x, y, and z's lengths. Those are 3, 12, and 9 respectively.

I first imagined a 12 by 9 rectangle and then figured about the area of the shaded part.

The 12 by 9 rectangle is 108 sq ft, But there is a empty part on the top left. That would be a 9 ft by 6 ft triangle.

The area of a triangle can be figured out with this formula: A = bh/2 Substitute b and h for 9 and 6 respectively.

A = (9 * 6)/2

A = 54/2

A = 27 sq. ft.

Now, subtract 27 from 108 to get the area of the shaded part.

108 - 27

81 sq. ft.

The area of the tile being used is 81 sq. ft.