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Digital SAT
Digital SAT Mathematics - Calculator Section

Area of a Right Triangle with Increased Leg Lengths

Very Hard Functions And Modeling Modeling With Geometry

In a right triangle, the lengths of the legs are given as $x$ and $y$. The area of this triangle can be expressed as $A = \frac{1}{2}xy$. If the lengths of the legs of the right triangle are both increased by a factor of $k$, what will be the new area of the triangle?

Express the new area in terms of $A$ and $k$.

Hint

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