A floor which measures 15m*8m is to be laid with tiles measuring 50cm by 25 cm. Find the number of tiles required. Further, if a carpet is laid on the floor so that a space of 1m exists between its edges and the edges of the floor, what fraction of the floor is uncovered?

But in my book answer is 960 tiles right but 1 upon 2

In my book the answer is 960, 7upon 20😩

In my book the answer is 960 for the tiles

area of floor = 120 m^2

area of one tile = .5*.25 or .125 m^2
number of tiles = 120/.125 = 960

or
we need 30 tiles along one wall, and 32 along the other wall, so 30*32 or 960 tiles

carpet is 13 by 6 or 78 m^2, leaving
120-78 or 42 m^2 of the floor exposed

To find the number of tiles required, we need to calculate the area of the floor and the area covered by each tile.

First, let's convert the measurements to the same units. The floor measures 15m * 8m, which gives us a total area of 15m * 8m = 120 square meters.

The tiles measure 50cm * 25cm, which gives us an area of 50cm * 25cm = 1250 square centimeters. However, we need to convert this to square meters to match the floor area. There are 100 centimeters in a meter, so we divide 1250 by 10,000 (100cm * 100cm) to get the area in square meters: 1250 / 10,000 = 0.125 square meters.

Now, we can calculate the number of tiles required by dividing the floor area by the area covered by each tile: 120 square meters / 0.125 square meters = 960 tiles.

So, you will need 960 tiles to cover the entire floor.

To find the fraction of the floor that remains uncovered when a carpet is laid with a gap of 1 meter on each side, we can calculate the area of the uncovered space.

The dimensions of the carpet will be (15m + 2m) * (8m + 2m) to account for the 1-meter gap on each side. This gives us a carpet area of (15m + 2m) * (8m + 2m) = 17m * 10m = 170 square meters.

The fraction of the floor that remains uncovered is given by: (area of uncovered space) / (total floor area).

The area of the uncovered space is the difference between the carpet area and the floor area: 170 square meters - 120 square meters = 50 square meters.

Therefore, the fraction of the floor that remains uncovered is: 50 square meters / 120 square meters ≈ 0.4167.

So, approximately 41.67% of the floor will be left uncovered.