Solve the problem.
-The floor of a rectangular room is to be tiled with $\frac { 1 } { 3 }$ foot square tiles along a $12 \frac { 1 } { 4 }$ foot wall. How many tiles will be needed along the wall?
A) $36 \frac { 1 } { 4 }$ tiles

B) $4 \frac { 1 } { 12 }$ tiles

C) 38 tiles

D) $36 \frac { 3 } { 4 }$ tiles

Question

Solve the problem.
-The floor of a rectangular room is to be tiled with $\frac { 1 } { 3 }$ foot square tiles along a $12 \frac { 1 } { 4 }$ foot wall. How many tiles will be needed along the wall?
A) $36 \frac { 1 } { 4 }$ tiles

B) $4 \frac { 1 } { 12 }$ tiles

C) 38 tiles

D) $36 \frac { 3 } { 4 }$ tiles

Quizplus · Accepted Answer

To find the number of tiles needed along the wall, we need to divide the length of the wall by the length of each tile.

First, we need to convert the length of the wall to inches to match the unit of the tile length.

12 feet and 1/4 foot is equal to (12 x 12) + (1/4 x 12) = 145 inches.

Next, we need to convert the tile length to inches:

1/3 foot is equal to 4 inches (since 1 foot is 12 inches, 1/3 foot is 4 inches).

Finally, we can divide the length of the wall by the length of each tile:

145 inches ÷ 4 inches = 36.25

Therefore, we need 36 and 1/4 tiles along the wall. The closest answer choice to this is D, which is $36 \frac { 3 } { 4 }$ tiles.

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