Question

A 13 by 27ft rectangular pool is surrounded. if total area is 384 ft2, how wide is the walkway

Answer 1

The corrected equation is:

\[ 13 \times 27 + 2w(13 + 27 + 4w) = 384 \]

Now, let's simplify and solve for \( w \):

\[ 351 + 2w(40 + 4w) = 384 \]

\[ 351 + 80w + 8w^2 = 384 \]

Subtract 384 from both sides:

\[ 8w^2 + 80w - 33 = 0 \]

Now, factor or use the quadratic formula to solve for \( w \). After solving, you should get two potential solutions for \( w \). Choose the positive solution since the width cannot be negative in this context.