Question

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.Mai’s kitchen door is 1.2 m wide. How wide should the door be on the scale drawing? Explain how you know.

Include your answer in your response: The door should be ______ wide on the scale drawing because _________.

Answer 1

The door on Mai's scale drawing of her kitchen should be 3 centimeters wide because when using the scale factor of 1 to 40, the actual door width of 1.2 meters is represented as 3 centimeters on the drawing.

Step-by-step explanation:

Mai has chosen a scale of 1 to 40 for her kitchen drawing. To find out how wide the door should be on the scale drawing, we need to reduce the actual door width using the same scale factor. Her kitchen door is 1.2 meters wide in reality, so on the scale drawing, the door width would be calculated as follows:

1. Actual door width = 1.2 meters.
2. Scale factor = 1 to 40.
3. Scaled door width = Actual door width / Scale factor.
4. Scaled door width = 1.2 meters / 40.
5. Scaled door width = 0.03 meters or 3 centimeters.

Therefore, the door should be 3 centimeters wide on the scale drawing because the scale factor of 1 to 40 means that every 1 meter in reality is represented as 2.5 centimeters on the drawing.