Answer: length is 19 inches
width is 17 inches
Explanation:
Let the length and the width are x>0 and (x+2)>0
Hence,
x(x+2)=323
x²+2x=323
x²+2x-323=0
x²+(19x-17x)-323=0
(x²+19x)-(17x+323)=0
x(x+19)-17(x+19)=0
(x+19(x-7)=0
x+19=0
x=-19∉ (x>0)
x-17=0
x=17 inches
x+2=17+2
x+2=19 inches