Question

Elena wants to make a scale drawing of her bedroom. She will use the scale 1 cm to 1/2 m.

Elena’s bedroom door is 2 1/2 m tall. How tall should the door be on the scaled drawing?

a) 5 cm
b) 6 cm
c) 7 cm
d) 8 cm

Answer 1

Elena should make the door 5 cm tall on her scale drawing, which represents a real-life height of 2 1/2 m using the scale 1 cm to 1/2 m.

Step-by-step explanation:

Elena wants to make a scale drawing of her bedroom using the scale 1 cm to 1/2 m. To determine how tall the door should be on the scale drawing, we perform a simple conversion. Since 1 cm on the drawing represents 1/2 m in real life, we can set up a proportion to find the height of the door in the drawing.

First, we need to express the height of her door in meters, which is given as 2 1/2 m. To find out how many centimeters represent this height on the drawing, we divide the actual height of the door by the 'real life' portion of the scale:

1. Actual height of the door = 2.5 m (since 2 1/2 m can be written as 2.5 m)
2. Scale factor in real life = 1/2 m
3. Height on drawing (in cm) = Actual height (in m) / Scale factor (in m), which is 2.5 m ÷ (1/2 m) = 5 cm

Therefore, the height of the door on Elena's scale drawing should be 5 cm.