Question

A rectangular plot of ground having dimensions 29 ft by 30 ft is surrounded by a walk of uniform width. If the area of the walk is 536 ft2, what is its width?

Answer 1

let the uniform width be x



so the area of the whole thing plot and path is

\[(2x + 30)(2x + 29) = 29 \times 30 + 536\]

you have a quadratic equation that will allow you to solve for x

\[4x^2 + 118x + 870 = 1406\]

hope it helps