Question

1. elenas bedroom is a rectangle with length 5 meters and width 3 meters.

a. make a scale drawing of elenas bedroom, using a scale of 1 to 50. be sure to label the dimensions of your drawing.
b. elenas bedroom door is 0.8 meters wide. how wide should the door be on the scale drawing? explain how you know.
c. elenas bed measures 4 centimeters by 3 centimeters on the scale drawing. what are the actual measurements of her bed?

Explanation:

Step1: Convert actual length and width to scale drawing length and width for part a

Since the scale is \(1:50\), for length \(l = 5m=500cm\), the scale - drawing length \(l_{sd}=\frac{500}{50}=10cm\). For width \(w = 3m = 300cm\), the scale - drawing width \(w_{sd}=\frac{300}{50}=6cm\).

Step2: Find the scale - drawing width of the door for part b

The actual width of the door \(d = 0.8m=80cm\). Using the scale \(1:50\), the scale - drawing width \(d_{sd}=\frac{80}{50}=1.6cm\).

Step3: Find the actual measurements of the bed for part c

If the scale is \(1:50\), for the scale - drawing length of the bed \(l_{b - sd}=4cm\), the actual length \(l_{b}=\ 4\times50 = 200cm = 2m\). For the scale - drawing width of the bed \(w_{b - sd}=3cm\), the actual width \(w_{b}=3\times50=150cm = 1.5m\).

Answer:

a. Draw a rectangle with length \(10cm\) and width \(6cm\).
b. The door should be \(1.6cm\) wide on the scale drawing.
c. The actual measurements of the bed are \(2m\) by \(1.5m\).