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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
How many cookies will be in one batch of Trisha's cookies?
(A)
(B)
(C)
(D)
(E)
Solution
Art's cookies have areas of . There are 12 cookies in one of Art's batches so everyone used of dough. Trisha's cookies have an area of so she has cookies per batch.
Final answer
E