SOLUTION: a 10 in by 12 in picture is to be enlarged and paintedon a 15 foot by 10 foot wall. If the picture remains proportional(not distorted and maintains the same orientation(not rotate

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Question 66604: a 10 in by 12 in picture is to be enlarged and paintedon a 15 foot by 10 foot wall. If the picture remains proportional(not distorted and maintains the same orientation(not rotated). what is the greates fraction of the wall that could covered by the painting. Express your answer as a fraction. Explain
Answer by ankor@dixie-net.com(22740) (Show Source):
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a 10 in by 12 in picture is to be enlarged and painted on a 15 foot by 10 foot wall. If the picture remains proportional(not distorted and maintains the same orientation(not rotated). what is the greatest fraction of the wall that could covered by the painting. Express your answer as a fraction. Explain
:
Convert the wall dimensions to inches:
12*10 = 120" and, 12 * 15 = 180"; (it will avoid decimals)
:
Assume the vertical of the picture is 12" and the vertical of the wall is 120"
:
In order to cover the wall vertically, mult the picture dimensions by 10,
you have a picture of 120" high and 100" wide.
:
Area of the picture: 120 * 100 = 12000 sq inches
Area of the wall: 120 * 180 = 21600 sq inches
:
The fraction: reduces to
:
:
Check using feet:
picture: 10 * 8.33 = 83.3 sq ft
wall: 10 * 15 = 150 sq ft
:
83.33/150 = .5555 which is about 5/9