Question

The floor of a room is being covered with tile. An area three fourths

of the length and three fifths
of the width is covered. Find the fraction of the floor that has been covered.

Answer 1

9/20 part of the total area of the floor is covered.

Explanation:

Let the length of a room is = L and width of that room is = W

Then area A of the room will be = length × width = L×W

Now an area of this room is to be covered by the tiles,of which Length (L') is =
`(3)/(4)(L)` and width (W') =
`(3)/(5)(W)`

So the area A' covered by the tiles will be =
`(3)/(4)(L)((3)/(5)(W')`

`A'=(9)/(20)LW = (9)/(20)A`

So 9/20th part of floor has been covered.

Answer 2

Answer: 9/20 of the area is covered.

Explanation:

1, You have that the area can be calculated with the formula shown below:

`A=l*w`

2. You know that the 3/4 of the lenght and 3/5 of the width is covered.

3. Then, the area is:

`A=(3/4)l*(3/5)w`

4. Multiply the fractions shown above, then you obtain:

`A=(9/20)l*w`

5. Therefore, 9/20 of the area is covered.