Question

PLZ HELP 50 POINTS AND BRAINLIEST

Answer 1

Answer:

The area of the quartz layer section is  0.27   square meters.

Step-by-step explanation:

Given:

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 2 cm high and 24 cm long. If the actual layer is 0.15m high.

Now, to find the area of the actual quartz layer section she saw.

So, according to the scale drawing of the layer height is 2 cm and length is 24 cm.

Now, we get the length of the actual layer by using cross multiplication method:

Let the actual length be $x.$

And, the actual layer height is 0.15m.

If, 2 is equivalent to 24.

So, 0.15 is equivalent to $x.$

$\frac{2}{24}=\frac{0.15}{x}$

By cross multiplying we get:

$2x=3.6$

Dividing both sides by 2 we get:

$x=1.8\ m.$

Thus, the actual length is 1.8 m.

Now, to get the area of the actual quartz layer section by using formula:

$Area=length\times height\\\\Area=1.8\times 0.15\\\\Area=0.27\ square\ meters.$

Therefore, the area of the quartz layer section is 0.27 square meters.