# math

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You are reducing a map of dimensions 2 ft by 3 ft to fit to a piece of paper 8 in by 10 in. What are the dimensions of largest possible map that can fit on the page?

I really don't know how to do this but so far I tried to make 2 proportions by changing feet to inches. This is the proprtion:

8/10=24/x and 8/10=120/x. Can you help me?

• math -

2 x 3 feet is 24 x 36 inches. The length dimension (10 inches) will be the limiting dimension on the 8x10 page. The reduction ratio will be 36:10 = 3.6

The width dimension of the map will be 2/3 x 10 = 6.67 inches. There will be blank space along the 8 inch width of the page, since the map will be only 6.67 inches wide.

So the printed map will have dimensions of 10 x 6.67 inches.

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