Ivy's bed measures 5 cm by 4 cm on the scale drawing what are the actual measurements of her bed
The answer's are 3.75 meter by 3 meters
In a scale drawing, the ratio between the measurements on the drawing and the actual measurements is maintained.
Let's assume the scale of the drawing is 1:100. This means that 1 cm on the drawing represents 100 cm in real life.
According to the information given, Ivy's bed measures 5 cm by 4 cm on the scale drawing.
To find the actual measurements, we need to multiply by the scale factor.
Scale factor = 100 cm on the drawing / 1 cm in real life = 100
Actual measurements of Ivy's bed:
Length = 5 cm * 100 = 500 cm = 5 meters
Width = 4 cm * 100 = 400 cm = 4 meters
Therefore, the actual measurements of Ivy's bed are 5 meters by 4 meters.
how did I get 3.75 meters by 3 meters?
Apologies for the confusion. If Ivy's bed measures 5 cm by 4 cm on the scale drawing and the actual measurements of her bed are 3.75 meters by 3 meters, then the given answer does not align with the given information.
The actual measurements of Ivy's bed should be:
Length: 5 cm * 100 = 500 cm = 5 meters
Width: 4 cm * 100 = 400 cm = 4 meters
Therefore, the actual measurements of Ivy's bed are 5 meters by 4 meters, not 3.75 meters by 3 meters.
To find the actual measurements of Ivy's bed based on the scale drawing, you need to determine the scale factor.
The scale factor can be found by dividing the length on the scale drawing by the corresponding actual length.
Given that the length on the scale drawing is 5 cm and the actual length is 3 meters, we can set up the following equation:
5 cm / x meters = 3 meters / 3 meters.
Simplifying this equation, we have:
5 cm / x meters = 1.
Cross-multiplying, we get:
5 cm = x meters.
Therefore, the scale factor is 5 cm / 1 meter.
To find the actual measurements of Ivy's bed, we can multiply the dimensions on the scale drawing by the scale factor.
The length of Ivy's bed is 5 cm * 5 cm/1 meter = 25 cm.
The width of Ivy's bed is 4 cm * 5 cm/1 meter = 20 cm.
To convert these measurements to meters, we divide them by 100 (since there are 100 centimeters in a meter):
Length: 25 cm / 100 = 0.25 meters.
Width: 20 cm / 100 = 0.2 meters.
Therefore, the actual measurements of Ivy's bed are 0.25 meters by 0.2 meters.
To determine the actual measurements of Ivy's bed based on the scale drawing, we need to know the scale factor. The scale factor represents how many units on the drawing correspond to one unit in reality.
In this case, since the scale drawing is not specified, we'll assume a linear scale factor. Let's calculate the scale factor by comparing one dimension of the drawing with its actual measurement.
The length of Ivy's bed on the drawing is given as 5 cm. To find the actual length, we need to divide this by the scale factor. Let's say the scale factor is "x":
Actual length = 5 cm / x
Similarly, the width of Ivy's bed on the drawing is given as 4 cm. Again, we divide this by the scale factor to find the actual width:
Actual width = 4 cm / x
According to the provided solution, the actual measurements of Ivy's bed are 3.75 meters by 3 meters. Let's substitute these values to find the scale factor:
3.75 meters = 5 cm / x
3 meters = 4 cm / x
To convert meters to centimeters, we multiply them by 100. Let's rewrite the equations using centimeters:
375 cm = 5 cm / x
300 cm = 4 cm / x
Now, we can solve for "x" by setting up a proportion:
375 cm / 5 cm = 300 cm / 4 cm
Cross-multiplying gives:
375 cm * 4 cm = 5 cm * 300 cm
1500 cm^2 = 1500 cm^2
This means the scale factor is 1. Therefore, in the scale drawing, 1 cm represents 1 cm in reality.
Therefore, the scale drawing provided in the question is already showing the actual measurements of Ivy's bed, which are 3.75 meters by 3 meters.