Question

A geologist drew a scale drawing of a section of a quartz layer she saw in a cliff. The scale drawing of the layer is 4 cm high and 28 cm long. If the actual layer is 0.2 meters high, what is the area of the actual quartz layer section she saw?

Answer 1

`0.28\ \text{m}^2`

Explanation:

`4\ \text{cm}=0.2\ \text{m}`

`1\ \text{cm}=(0.2)/(4)=0.05\ \text{m}`

`28\ \text{cm}=28* 0.05=1.4\ \text{m}`

The height of the layer is 0.2 m and the length is 1.4 m

Area is given by

`0.2* 1.4=0.28\ \text{m}^2`

Area of the actual quartz layer section is
`0.28\ \text{m}^2`.