George takes a photograph of a rectangular window that is 312 feet tall and 134 feet wide. He prints the photograph on paper so that the image of the window is 12 foot tall and 14 foot wide.
What is the ratio of the area of window to the area of the image of the window?
A. 1:49
B. 1.7
C. 7.1
D. 49:1
Answers
Answer:
l thing B is right answer
Given : George takes a photograph of a rectangular window that is 3 1/2 feet tall and 1 3/4 feet wide. He prints the photograph on paper so that the image of the window is 1/2 foot tall and 1/4 foot wide.
To Find : ratio of the area of window to the area of the image of the window
A. 1:49
B. 1.7
C. 7.1
D. 49:1
Solution:
Rectangular window
Length = 3 1/2 = 7/2 feet
Width = 1 3/4 = 7/4 feet
Area = Length * width
= 7/2 * 7/4
= 49/8 sq feet
photograph on paper
Length = 1/2 feet
Width = 1/4 feet
Area = Length * width
= 1/2 *1/4
= 1/8 sq feet
ratio of the area of window to the area of the image of the window
= (49/8) / (1/8)
= 49/1
= 49 : 1
49 : 1 is the ratio of the area of window to the area of the image of the window
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