A rectangular playground covers 4500m^2 its length is 40m longer than its width. what is the width of the playground?

LW=area=4500

L=40+W

(40+W) (W) = 4500

W²+40W=4500

W²+40-4500=0

factor

(W-50) (W+90) = 0

set to zero

W-50=0

W=50

W+90=0

W=-90

false, can't have negative measures

W=50

L=40+W

L=40+50=90

the width is 50 m