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
Answers
Answer:
D. 81 sq. ft.
Step-by-step 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.
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