Suppose that you have a map on which

Answered question

2022-03-25

Suppose that you have a map on which 1 inch represents 25 miles. You cover a county on the map with a 1⁄8-inch-thick layer of modeling dough. Then you re-form this piece of modeling dough into a 1⁄8-inch-thick rectangle. The rectangle is 1 3⁄4 inches by 2 1⁄4 inches. Approximately what is the area of the county? Explain. 

Answer & Explanation

alenahelenash

alenahelenash

Expert2022-03-28Added 556 answers

Since thickness is not changing when the piece of modeling dough into rectangle, so the arean cover by the dough is equal to the area of rectangle.

So, given,

lenght (L) of rectangle=214=94 inch

breadth (B) of rectangle =134=74 inch

So, the are of the county

= area of rectangle

=L×B=94×74=6316 inch 2

6316×252 mile 2 (1 inch =25 mile)

= 24670.94 mile 2

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