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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, what is the area of the actual quartz layer section she saw?

The area of the quartz layer section issquare meters.

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

And, the actual layer height is 0.15m.

If, 2 is equivalent to 24.

So, 0.15 is equivalent to

By cross multiplying we get:

Dividing both sides by 2 we get:

Thus, the actual length is 1.8 m.

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

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

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step-by-step explanation: