PLZ HELP 50 POINTS AND BRAINLIEST

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.

27 square meters

Step-by-step explanation:

Let's find the scale ratio.

0.15m = 15cm

15 ÷ 2 = 7.5

The scale ratio is 1:7.5 This means every 1 cm in the drawing is equal to 7.5 cms in real life.

Now let's find the length.

24 × 7.5 = 180. The actual length is 180 cm.

So our measurements are now 15cm by 180cm. Let's find the area:

15 × 180 = 2,700

Now let's convert cm to m. One meter = 100 centimeters so we'll divide by 100.

2,700 ÷ 100 = 27

The area of the quartz layer section is 27 square meters.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.