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Answer :
The scale used from the copy to the original is 1:3.
The actual painting is 7.5 inches wide.
The scale used from the copy to the original is 1:20.
The actual door is 200 cm tall
The scale factor is the ratio of the corresponding dimensions:
= Image height / Original painting height
= 4 / 12
= 1/3
b) Width of the actual painting:
Scale factor = Image width / Original painting width
1/3 = 2.5 / Original painting width
Original painting width = 2.5 * 3 = 7.5 inches
4)
Image width: 3 cm
Actual door width: 60 cm
Scale factor
= Image width / Actual door width
= 3 cm / 60 cm
= 1/20
b) Height of the actual door:
1/20 = 10 cm / Actual door height
Actual door height = 10 cm * 20
= 200 cm
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Rewritten by : Barada
1. The scale used is 1:3 and the actual painting is 7.5 inches wide.
2. The scale used is 1:20 and the real door is 200 cm tall.
(a) What is the scale used from the copy to the original?
We are give that the image of the painting is 4 inches tall on the computer monitor.
Also, we have that the actual painting is 12 inches tall.
To find the scale, divide the height of the image by the height of the actual painting:
Scale = (height of the image)/(height of the actual painting)
Scale = 4 inches/12 inches
Scale = 1/3
Express as ratio
Scale = 1 : 3
(b) How wide is the actual painting?
To determine the actual width, we divide the width of the image by the scale:
Actual width = width of the image/scale
Actual width = 2.5/(1/3)
Actual width = 2.5 * 3
Actual width = 7.5 inches
Mr. Veloz's closet door:
Here, we have that the picture of the closet door measures 3 cm wide by 10 cm tall on the paper.
We are also given that the actual door is 60 cm wide.
To find the scale, we divide the width of the picture by the actual width:
Scale = 3 cm/60 cm
Scale = 1/20
Express as ratio
Scale = 1 : 20
To find the actual height, we divide the height of the picture by the scale:
Actual height = 10/(1/20)
Actual height = 10 * 20
Actual height = 200 cm
