a parking lot has a length that is 9 yards greater than the width. area is 360 square yards . find the length and width

Question

this is a quadratic equation the parking lot has a length that is 9 yards greater than the width and the area of the parking lot is 360 square yards find the length and width

 

Answer 1

So we have the sentences translated to equations as

 

l=9+w

A=lw=360

substitute the first equation into the second to have

 

(9+w)w=360

Rewriting into quadratic form

w²+9w-360=0

(W+24)(w-15)=0

w=15,-24 but length must be greater than 0 so we have the w=15 

so l=24 by substitution.