Answer:
Step-by-step explanation:
Given
Natoy's rectangular swimming pool has the length of 3m more than thrice its
width.
Width=w
Length =3w+3
So
Area of the rectangular swimming pool=length×width
216=(3w+3)×w
216=3w^2+3w
3w^2+3w-216=0
3(w^2+w-72)=0
W^2+w-72=0
W^2+(9-8)w-72=0
W^2+9w-8w-72=0
W(w+9)-8(w+9)=0
(W+9)(w-8)=0
Sotwo value of w are 8,-9
We take positive value for rectangular swimming so we take w=8m
Width=8m
Length=3×8+3
= 24+3
=27m
