Question

A house has an area of 234 m2. What is its area in each unit?

A)km2

B)dm2

C)cm2

Answer 1

(A)
`234m^2=2.34* 10^8km^2`

(B)
`234m^2=2.34* 10^4dm^2`

(C)
`234m^2=2.34* 10^6cm^2`

Explanation :

The conversion used for area from
`m^2` to
`km^2` is:

`1m^2=10^6km^2`

The conversion used for area from
`m^2` to
`dm^2` is:

`1m^2=100dm^2`

The conversion used for area from
`m^2` to
`cm^2` is:

`1m^2=10000cm^2`

Part (A):

As,
`1m^2=10^6km^2`

So,
`234m^2=(234m^2)/(1m^2)* 10^6km^2=2.34* 10^8km^2`

Part (B):

As,
`1m^2=100dm^2`

So,
`234m^2=(234m^2)/(1m^2)* 100dm^2=2.34* 10^4dm^2`

Part (C):

As,
`1m^2=10000cm^2`

So,
`234m^2=(234m^2)/(1m^2)* 10000cm^2=2.34* 10^6cm^2`

Answer 2

a)
`0.000324 km^2`

b)
`32400 dm^2`

c)
`3.24x10^6 cm^2`

Step-by-step explanation:

To do the different conversions we need to know the follow:

`1 km->1000 m so 1 km^2-> 1000^2 m^2= 1x10^6 m^2`

`324 m^2*(1 km^2/1x10^6 m^2) = 0.000324 km^2`

`1m-> 10 dm so 1m^2->10^2 dm^2=100 dm^2`

`324 m^2*(100 dm^2/1 m^2)=32400 dm^2`

`1m-> 100 cm so 1m^2->100^2 cm^2=10000 cm^2`

`324 m^2*(10000 cm^2/1 m^2)=3.24x10^6 cm^2`