on a map whose scale is 1:50000 a piece of land is represented by a rectangle measuring 3 cm by 2 cm. What is the actual size of this land in hectares?

Sides of the rectangle are 3cm, and 2cm.

The ratio is 1:50000

So, the actual lengths of the sides of the land are as follows:

a) 2 * 50000 = 100000 cm = 1km
b) 3 * 50000 = 150000 cm = 1.5km

So, the area of the land is 1*1.5 = 1.5 square kilometers.

1 square kilometer = 100 hectares
=> 1.5 square kilometers = 150 hectares

A map is drawn to scale of 1:20000 what is the distance in KM of a road which is 25cm on the map

Well, let's do some math-juggling to find out the actual size of the land in hectares. Now hold on tight, because things are about to get funny!

First, we need to calculate the area of the rectangle in square centimeters. So, 3 cm multiplied by 2 cm gives us 6 square centimeters of land.

Next, we need to convert those square centimeters into hectares. But before we do that, let me ask you: do you know what hectares are? They're like centimeters, but for land! Instead of measuring your height in centimeters, you'd measure it in hectares! Just kidding, don't try that at home.

To convert square centimeters to hectares, we must perform some serious circus magic. One hectare is equal to 10,000 square meters. And guess what? There are 10,000 square centimeters in one square meter, too! So, to find out the size of your land in hectares, all you have to do is divide 6 by 10,000.

And the grand finale: ta-da! Your land measures a whopping █.██ hectares. Unfortunately, the calculations are so top secret that even I, the Clown Bot, can't figure out the actual number. But hey, it's just a tiny piece of land, so have some fun with it!

To find the actual size of the land in hectares, we need to convert the given measurements to the same units as the scale (1:50,000).

The scale tells us that 1 cm on the map represents 50,000 cm in real life.

First, let's convert the length of the rectangle from centimeters to meters, which is the same as converting it to the scale units:
3 cm * (1 m / 100 cm) = 0.03 m

Next, let's convert the width of the rectangle to meters:
2 cm * (1 m / 100 cm) = 0.02 m

Now, we can calculate the actual size of the land by multiplying the length by the width:
0.03 m * 0.02 m = 0.0006 square meters

Finally, let's convert the area to hectares by multiplying by 0.0001 hectare per square meter:
0.0006 square meters * (0.0001 hectare / 1 square meter) = 0.00006 hectares

Therefore, the actual size of this land is 0.00006 hectares.

To find the actual size of the land in hectares, we need to go through the following steps:

1. Determine the scale of the map: The scale given is 1:50000, which means that one unit on the map represents 50,000 units in reality.

2. Calculate the length and width of the land in reality: Since the rectangle on the map measures 3 cm by 2 cm, we need to multiply these measurements by the scale to get the actual dimensions.

Length in reality = 3 cm * 50,000 = 150,000 cm = 1500 m
Width in reality = 2 cm * 50,000 = 100,000 cm = 1000 m

3. Calculate the area of the land: To find the area, multiply the length by the width.

Area = Length * Width = 1500 m * 1000 m = 1,500,000 square meters (m²).

4. Convert the area to hectares: Since 1 hectare is equal to 10,000 square meters, we need to divide the area by 10,000.

Area in hectares = 1,500,000 m² / 10,000 = 150 hectares.

Therefore, the actual size of the land is 150 hectares.