Question 983647
hi,
Let L and w be the lenght and the width 
if perimeter P of the bulding is 170m,therefore,
2(L+w)=170
then,
L+w=85----(1)
also, if the area is 1624m²,therefore,
 L*w=1624----(2)
from (1)
L=85-w----(3)
put (3) in (2) 
(85-w)w=1624
85w-w²=1624
w² -85w+1624=0
factorize the equation formed above and get;
(w-29)(w-56)=0
w=29 or w=56
put w=29 in (3)
L=85-29
L=56
put w=56 in (3)
L=85-56
L=29
From the above,the lenght L of the bulding is 56m and the width is 29m.
  HOPE THIS HELPS;...
-------TIMNEWMAN------