A piece of wire of length l metres is cut into two pieces of length x metres and (l-x) metres. The former is bent into the shape of a square and the latter is bent into the shape of a rectangle of which the length is twice the width. Find an expression for the sum of the areas of these two figures.

Question

A piece of wire of length   l  metres is cut into two pieces of length   x  metres and   (l-x)  metres. The former is bent into the shape of a square and the latter is bent into the shape of a rectangle of which the length is twice the width. Find an expression for the sum of the areas of these two figures.

Answer

\frac {1}{18}\left (\frac {17}{8} x^2-2 x l\right )+\frac {1}{18} l^2

Answer

\frac {1}{18}\left (\frac {17}{8} x^2+2 x l\right )+\frac {1}{18} l^2

Answer

\frac {1}{18}\left (\frac {17}{8} x^2-2 x l\right )+\frac {1}{18} l

Answer

None of the other four choices.

Answer

\frac {1}{18}\left (\frac {17}{8} x^2+2 x l\right )-\frac {1}{18} l^2

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