1. A distance of 1 kilometre is represented on a map by a line 5cm in length. The scale is 1cm to ? m.

2. Value Added Tax at a rate of 20% is added to the price of a washing machine which costs €250 before tax. What will be its price after VAT has been added?

3. How much to carpet a room 3.25m by 4m at €8 per m²

5cm --- 1 km

5 cm --- 1000 m
1 cm --- 200 m

what is 250(1.2) ?

what is 8(3.25)(4) ?

1. To determine the scale, we need to find out how many meters are represented by 1 cm on the map. We know that 1 km is represented by a line 5 cm in length.

First, we need to find how many centimeters make up 1 km. Since there are 1000 meters in 1 km and the scale is 5 cm, we can set up a proportion to solve for the number of centimeters in 1 km:

1 km = 1000 m
5 cm = x cm

1000/1 = x/5

Cross-multiplying, we get:
x = 1000*5/1
x = 5000 cm

So, 1 cm on the map represents 5000 cm in real distance. To find the scale in meters, we divide by 100 to convert centimeters to meters:

1 cm = 5000/100
1 cm = 50 m

Therefore, the scale is 1cm to 50m.

2. To calculate the price after VAT has been added, we need to add the VAT amount to the original price of €250.

The VAT rate is 20%, which means the VAT amount is 20% of €250:

VAT amount = 0.20 * €250
VAT amount = €50

To find the final price, we add the original price and the VAT amount:

Final price = original price + VAT amount
Final price = €250 + €50
Final price = €300

Therefore, the price after VAT has been added will be €300.

3. To determine the cost of carpeting a room, we need to multiply the area of the room by the cost per square meter.

The area of the room is equal to its length multiplied by its width:

Area = length * width
Area = 3.25m * 4m
Area = 13m²

Now, we can calculate the cost of carpeting based on the area and the cost per square meter:

Cost = area * cost per square meter
Cost = 13m² * €8/m²
Cost = €104

Therefore, it will cost €104 to carpet a room with dimensions 3.25m by 4m at a rate of €8 per m².

1. To find the scale, we need to compare the length on the map to the actual distance it represents.

Given:
Length on map: 5cm
Actual distance: 1 kilometer

To determine the scale, we can set up a proportion:
Length on map / Actual distance = Scale factor

Substituting the known values:
5cm / 1km = Scale factor

Since we need the scale in terms of meters, we convert 1 kilometer to meters:
1 kilometer = 1000 meters

So the equation becomes:
5cm / 1000m = Scale factor

Simplifying the equation, we divide 5cm by 1000m:
Scale factor = 0.005

Therefore, the scale on the map is 1cm to 0.005m or simply 1cm to 5m.

2. To calculate the price after adding Value Added Tax (VAT) to the original price, we need to add 20% of the original price to the original price.

Given:
Original price: €250
VAT rate: 20%

To find the VAT amount, we calculate 20% of €250:
VAT amount = 0.20 * €250

VAT amount = €50

To find the final price after adding VAT, we add the VAT amount to the original price:
Final price = Original price + VAT amount

Final price = €250 + €50

Final price = €300

Therefore, the price of the washing machine after VAT has been added is €300.

3. To calculate the cost of carpeting a room, we need to find the area of the room and then multiply it by the cost per square meter.

Given:
Length of the room: 3.25m
Width of the room: 4m
Cost per square meter: €8

To find the area of the room, we multiply the length by the width:
Area = Length * Width

Area = 3.25m * 4m

Area = 13m²

To find the cost of carpeting the room, we multiply the area by the cost per square meter:
Cost = Area * Cost per square meter

Cost = 13m² * €8/m²

Cost = €104

Therefore, it will cost €104 to carpet a room measuring 3.25m by 4m at €8 per square meter.