Question

Emily wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with a length of 6m and a width of 2m. She decides on a scale of 1cm to 0.5m. If the kitchen door is 1.2m wide, how wide should the door be on the scale drawing? Be sure to include units

Answer 1

2.4 cm

Explanation:

The scaled dimension on the drawing
`=` (Scale-factor)
`*` (Original dimension)

She decides to draw 1cm for the original length of 0.5m=50 cm.

For this, the scaled dimension on the drawing=1cm and

the original dimention=50 cm

So, the scale-factor = 1/50.

As the kitchen door is 1.2m wide, i.e the original width of the door is 120 cm.

So, the scaled width of the door is

`120* (1)/(50)=2.4 cm.`

Hence, on the drawing, the width of the kitchen door should be 2.4 cm.