Name: SAT Math Help & School Math Mastery
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#35145

rectangles

area

geometry

hard

150 sec

A rectangular field has a length that is $k$ meters more than its width. If the width of the field is $w$ meters, and the area of the field is $A$ square meters, which of the following expressions represents the length of the field in terms of $A$ and $k$ ?

A.

$L = \frac{k + k ^{2} + 4 A}{2}$

B.

$L = \frac{- k + k ^{2} + 4 A}{2}$

C.

$L = \frac{A}{k} + k$

D.

$L = A^{2} - k^{2}$