You are recuding 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 the largest possible map that can fit on the page?
I think the answer is 1.5 ft by 2 ft. Is this right?
why are no one answering?
6.667" X 10"
To determine the dimensions of the largest possible map that can fit on the paper, we need to find the scale factor which is the ratio of the dimensions of the map to the dimensions of the paper.
The scale factor can be calculated as follows:
Scale factor = (Dimension of the paper)/(Dimension of the map)
For the given problem:
Dimension of the map = 2 ft by 3 ft
Dimension of the paper = 8 in by 10 in
Now, we need to convert the dimensions of the paper to the same units as the map, which is feet. Since 1 foot is equal to 12 inches, we can convert the paper dimensions as follows:
Dimension of the paper = (8 in / 12) ft by (10 in / 12) ft
= (2/3) ft by (5/6) ft
Now we can calculate the scale factor:
Scale factor = [(2/3) ft]/[2 ft] by [(5/6) ft]/[3 ft]
= (2/3)*(1/2) by (5/6)*(1/3)
= 1/3 by 5/18
= 5/54
To find the dimensions of the largest possible map, we multiply the paper dimensions by the scale factor:
Largest map dimensions = (2 ft * 5/54) by (3 ft * 5/54)
= (10/54) ft by (15/54) ft
= (5/27) ft by (5/9) ft
So, the correct dimensions of the largest possible map that can fit on the page are approximately 0.185 ft by 0.556 ft, which can be rounded to 0.19 ft by 0.56 ft.
Thus, your initial answer of 1.5 ft by 2 ft is not correct.