Hey I am Confused On a Math Question Can you help me??

Question

Here is the math problem

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with a length of 5 m and a width of 3 m. She decides on a scale of 1 to 50.

Elena’s bedroom door is 0.8 m wide. How wide should the door be on the scale drawing in centimeters?

How do I solve this

Thanks

Answer 1

First, you'll need to identify the scaling.

I start with 1 cm to 50 cm would be a 1 to 50 scale, but let's convert that to something that helps us with meters.

1 meter = 100 cm, so move the decimal to the left twice, and we have 0.01 m = 0.5 m

Next, we can set up the two as proportions, starting with our scale.

0.01 m = x <--- our unknown measurement to draw

0.5 m 0.8 m <-- the width of the door in real life

Cross multiply to get 0.5x = 0.008, then solve for x to get 0.016 m, but we must convert that to cm for our final answer.

Again move the decimal over twice (opposite way now since we would be multiplying by 100) to get 1.6 cm.