The product of two consecutive odd integers is 143. find all such pairs of integers.

x (x+2) = 143

x^2+2x-143=0

(x+13) (x-11) = 0

x=-13

x=11 solution

x+2=13 solution

proof

11*13=143

143=143

l=w+4

thus (w+4) w=117

w^2+4w-117=0

(w+13) (w-9) = 0

w-9=0

w=8 for the width

l=9+4=13 for the length.

proof

9*13=117

117=117