MathDB

16

Part of 2011 AMC 8

Problems(1)

Area Relationship

Source:

11/23/2011
Let AA be the area of the triangle with sides of length 25,2525, 25, and 3030. Let BB be the area of the triangle with sides of length 25,25,25, 25, and 4040. What is the relationship between AA and BB?
<spanclass=′latex−bold′>(A)</span>A=916B<spanclass=′latex−bold′>(B)</span>A=34B<spanclass=′latex−bold′>(C)</span>A=B<spanclass=′latex−bold′>(D)</span>A=43B<spanclass=′latex−bold′>(E)</span>A=169B <span class='latex-bold'>(A)</span> A = \dfrac9{16}B \qquad<span class='latex-bold'>(B)</span> A = \dfrac34B \qquad<span class='latex-bold'>(C)</span> A=B \qquad<span class='latex-bold'>(D)</span> A = \dfrac43B \\ \\ <span class='latex-bold'>(E)</span>A = \dfrac{16}9B
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