Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Common Core End-of-Course Assessment - Page 876: 5

Answer

$20.25 \ ft^2$

Work Step by Step

$ST=\sqrt 2 RS \implies 9=\sqrt 2 RS$ or, $RS=\dfrac{9}{\sqrt 2}$ $RS=RT$, so we can write the area as: $Area=\dfrac{1}{2}(\dfrac{9}{\sqrt 2})(\dfrac{9}{\sqrt 2})=20.25 \ ft^2$ Therefore, the correct option is $\bf{B}$.
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