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

Answer:

$0.28\ \text{m}^2$

Step-by-step explanation:

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

$1\ \text{cm}=\dfrac{0.2}{4}=0.05\ \text{m}$

$28\ \text{cm}=28\times 0.05=1.4\ \text{m}$

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

Area is given by

$0.2\times 1.4=0.28\ \text{m}^2$

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