Geometry/Maximum area: A rancher wants to enlarge an existing rectangular corral such that the total area of the new corral is 1.5 times that of the original corral. The current corral's dimensions are 250 feet by 160 feet. The rancher wants to increase each dimension by the same amount.

Question

1.) write a function that represents the area, A, of the new corral.

2.) Find the dimensions of the new corral.

Answer 1

250*160 = ____

A = Length * Width * Expansion Factor
A = 1.5*250*160

Answer 2

present area = 250(160) = 40000
new area = 1.5(40000) = 60000

let the new length be 250+x
let the new width be 160+x

(250+x)(160+x) = 60000

solve for x,
Hint, use the quadratic equation, since it does not factor.