Question

The floor of a room is being covered with tile. An area one half

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

Answer 1

Only the floor area
`(3)/(8)` has been covered

Explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

`A = lw`

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

`l' = (1)/(2)l`

`w' = (3)/(4)w`

So:

`A' = (1)/(2)l((3)/(4)w)`

`A' = (3)/(8)lw`

Finally:

`A' = (3)/(8)A`