A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.

Using first map, length of map = 5000/1000 = 5ft

                          Width of map = 4000/1000 = 4ft

Using second map, length of map = 5000/500 = 10ft

                             width of map = 4000/500 = 8 ft

Step-by-step explanation:

Given that first map has a scale of 1 inch to 1000ft.

And the second map has a scale of 1 inch to 500ft.

Since second map is representing small length for 1 inch, it will be larger.

To understand it better, let us assume that park has length of 5000ft and width of 4000ft.

Using first map, length of map = 5000/1000 = 5ft

                          Width of map = 4000/1000 = 4ft

Using second map, length of map = 5000/500 = 10ft

                             width of map = 4000/500 = 8 ft

In both length and width, second map is larger in size.

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step-by-step explanation: