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 The door should be ______ wide on the scale drawing because _________."

A) 1.2 cm, 1:40.
B) 48 m, 1:40.
C) 3 cm, 2:6.
D) 30 cm, 1:20.

Answer 1

The door should be 3 cm wide on Mai's scale drawing of her kitchen because the chosen scale is 1 to 40, which means every meter in real life translates to 2.5 cm on the drawing.

Step-by-step explanation:

The width of the door on Mai's scale drawing of her kitchen should be calculated using the scale she has decided upon, which is 1 to 40. To calculate the width of the door on the drawing, the actual width of the door (1.2 meters) needs to be multiplied by the scale factor. Since the scale is 1:40, every meter on the actual kitchen is represented as 1/40th of a meter on the drawing, which is equal to 2.5 centimeters (since 1 meter equals 100 centimeters).

Therefore, to find the scaled width of the door:

1. Convert the actual width from meters to centimeters: 1.2 m × 100 cm/m = 120 cm.
2. Multiply by the scale factor: 120 cm × (1/40) = 3 cm.

The door should be 3 cm wide on the scale drawing because the scale of 1 to 40 means that every meter (100 centimeters) in reality is represented by 2.5 centimeters on the drawing, and the door's actual width of 1.2 meters scales down to 3 centimeters on the drawing.