Question

A rectangular plot of land has an area of 520 square feet and is 6 feet longer than it is wide.
A) Write a quadratic equation in the form of ax^2 +bx + c=0, whose solution gives the width of the rectangular plot of land.
B) Solve the equation.

Answer 1

let the width be x

then the length is x + 6

so multiplying them gives the area

\[x(x+6) = 520\]

so distrubute and then solve for x.

as this is a measurement problem you only need to consider the positive va solutions.

Answer 2

Thanks.