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jmc

geometry junior

Problem

Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown. Art's cookies are trapezoids:
problem
Roger's cookies are rectangles:
problem
Paul's cookies are parallelograms:
problem
Trisha's cookies are triangles:
problem
Each friend uses the same amount of dough, and Art makes exactly cookies. Art's cookies sell for cents each. To earn the same amount from a single batch, how much should one of Roger's cookies cost in cents?
(A)
(B)
(C)
(D)
Solution
The area of one of Art's cookies is . As he has cookies in a batch, the amount of dough each person used is . Roger's cookies have an area of cookies in a batch. In total, the amount of money Art will earn is . Thus, the amount Roger would need to charge per cookie is .
Final answer
C