Question

a. A rectangular piece of land is 4.8 km by 1200 m.i. What is the area in square kilometers?ii. What is the area in hectares?b. A rectangular piece of land is 4.8 mi by 1200 yd.i. What is the area in square miles?il. What is the area in acres?

Answer 1

We are asked to determine the area of a square that has dimensions 4.8 km and 1200 meters.

First, we convert the 1200 meters into kilometers using the following conversion factor:

`1km=1000m`

Now, we multiply by the conversion factor in decimal form using as denominator the unit that we have ou measurement and as numerator the unit we want to convert it to. Since we want to convert meters into kilometers we use the following multiplication:

`1200m*(1km)/(1000m)`

Now, we solve the operations:

`1200m*(1km)/(1000m)=1.2km`

Now, we determine the area by finding the product of the dimensions:

`A=(4.8km)(1.2km)`

Solving the operations:

`A=5.76km^2`

The area is square kilometers is 5.76

ii. Now, we convert the area from square kilometers into hectares using the following conversion factor:

`1km^2=100ha`

Now, we multiply by the conversion factor in decimal form:

`5.76km^2*(100ha)/(1km^2)=576ha`

Therefore, the area is 576 Hectares.

A similar procedure is used for part B using the corresponding conversion factors.