On Greg's map, if 1 inch represents 30 miles, and on Lori's map, 1 inch represents 20 miles, how many more square miles does a 1-inch by 1-inch square represent on Greg's map than on Lori's map?

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To determine how many more square miles a 1-inch by 1-inch square represents on Greg's map compared to Lori's map, you first need to calculate the area represented by that square on each map.

On Greg's map, where 1 inch represents 30 miles, a 1-inch by 1-inch square covers an area of:

[

(30 \text{ miles}) \times (30 \text{ miles}) = 900 \text{ square miles}.

]

On Lori's map, with 1 inch representing 20 miles, the area represented by a 1-inch by 1-inch square is:

[

(20 \text{ miles}) \times (20 \text{ miles}) = 400 \text{ square miles}.

]

To find out how many more square miles this represents on Greg's map compared to Lori's map, you subtract the area on Lori's map from the area on Greg's map:

[

900 \text{ square miles} - 400 \text{ square miles} = 500 \text{ square miles}.

]

Thus, a 1-inch by 1-inch square on Greg's map represents 500 more square miles than the same area on Lori's