Question

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

a. Elena’s bedroom door is 0.8 m wide.
How wide should the door be on the scale drawing?
b. Elena’s bed measures 4 cm long by 3 cm wide on the scale drawing.
What are the actual measurements of her bed?

Answer 1

For Elena's scale drawing, the bedroom door should be 1.6 cm wide on the drawing to represent a real width of 0.8 m. The actual size of Elena's bed, given measurements of 4 cm by 3 cm on the scale drawing, is 2 m by 1.5 m.

Step-by-step explanation:

The student's question is about creating a scale drawing of a rectangle-shaped bedroom and converting measurements between the actual size and the scale size.

a. If Elena's bedroom door is 0.8 m wide, and the scale is 1 cm to 50 cm, then to find the width of the door on the scale drawing, we divide the actual width by the scale factor:

0.8 m / 50 cm/m = 0.8 m / 0.5 m/cm = 1.6 cm. Therefore, on the scale drawing, the door should be 1.6 cm wide.

b. If Elena's bed measures 4 cm long by 3 cm wide on the scale drawing, to find the actual measurements, we multiply each dimension by the scale factor:

Actual length: 4 cm * 50 cm/cm = 200 cm or 2 m.
Actual width: 3 cm * 50 cm/cm = 150 cm or 1.5 m. So, the actual measurements of Elena's bed are 2 m by 1.5 m.