1. ## block

A rectangular park is three blocks longer than it is wide. the area of the park is 40 square blocks. If w represents the widths, write an equation in terms of w for the area of the park. Find the length and width of the park.

2. Originally Posted by aznmartinjai
A rectangular park is three blocks longer than it is wide. the area of the park is 40 square blocks. If w represents the widths, write an equation in terms of w for the area of the park. Find the length and width of the park.
Hello,

let l be the length of the park
let w be the width of the park

Then you know: l = w + 3

and a = l * w

Plug in the term for l :

$a(w) = w \cdot (w+3) = w^2 + 3w$

You know: a = 40

Now you have a quadratic equation to solve:

$w^2 + 3w = 40 \Longleftrightarrow w = 5 \vee a = -8$

The negative solution isn't very plausible here. Thus the park is 8 blocks long and 5 blocks wide.