Analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member calculate the amount of dough wasted when a cookie of a different diameter is used. compare results

The result is the same.

Step-by-step explanation:

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Given the information:

square 12 inches wide3-inch diameter cookies are cut => its radius is: 1.5 inches

Hence we can find some information:

The area of the square is: square inches The area of a cookies is: π = 3.14* = 7.065 square inches The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

The area of a cookies is: π = square inches The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

The result is the same.