Final answer:
To determine the width of Elena's bedroom door on a scale drawing with a scale of 1 to 50, divide the actual door width (0.8 m) by 50, yielding a door width of 1.6 centimeters on the scale drawing.
Step-by-step explanation:
The student's question involves creating a scale drawing of Elena's bedroom. When using the scale of 1 to 50, every 1 unit on the scale drawing will represent 50 units in real life. So, to find the width of the door on the scale drawing, we use the width of the actual door and apply the scale factor.
To draw the scale drawing of Elena's bedroom, we need to use the scale factor of 1 to 50. The length of the bedroom is 5 m and the width is 3 m. To find the dimensions of the scale drawing, we multiply the length and width by the scale factor.
Length on the scale drawing = Length of the bedroom * Scale factor = 5 m * 50 = 250 m
Width on the scale drawing = Width of the bedroom * Scale factor = 3 m * 50 = 150 m
The bedroom door is 0.8 m wide. To find the width of the door on the scale drawing, we multiply the width of the door by the scale factor.
Width of the door on the scale drawing = Width of the door * Scale factor = 0.8 m * 50 = 40 m
Width of door in reality: 0.8 m
Scale factor: 1 to 50
To calculate the width of the door on the scale drawing, we divide the actual width by the scale factor:
Width on scale drawing = Actual width / Scale factor
= 0.8 m / 50
= 0.016 m or 1.6 cm
Therefore, the width of the door on Elena's scale drawing should be 1.6 centimeters.