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2015 AMC 12A Question 8

AMC12 · 2015 AMC 12A

Question 8

The ratio of the length to the width of a rectangle is $4 : 3.$ If the rectangle has diagonal of length $d,$ then the area may be expressed as $kd^2$ for some constant $k.$ What is $k?$
  1. $\dfrac{2}{7}$
  2. $\dfrac{3}{7}$
  3. $\dfrac{12}{25}$
  4. $\dfrac{16}{25}$
  5. $\dfrac{3}{4}$