Question

A rectangular park, 90 meters by 60 meters, is to be built on a city block having an area of 9000 m^2. A uniform strip borders all four sides of the park for parking. How wide is the strip? Use quadratic formula and show your work.

Answer 1

x = 10.52 m

Explanation:

Given that,

Length of a park = 90 m

Width of a park = 60 m

Area, A = 9000 m²

A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,

(90+2x)(60+2x) = 9000

`4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m`

So, the width of the strip is equal to 10.52 m.