Question 202688
Let the width of Photo=x
Then Length=x+4
Overall length (OL) with border = (x+4)+ 6 ..(twice border size of 3)
Overall width  (OB) with border = (x)  + 6 ..(twice border size of 3)
Overall area = OL*OB
Overall area = (x+10)*(x+6)
we get area =x^2+16x+60
x^2+16x+60    =165
x^2+16x+60-165=0
x^2+16x-105   =0
Splitting terms
x^2+21x-5x-105=0
x(x+21)-5(x+21)=0
(x-5)(x+21)=0
giving x= 5 or -21.
Ignoring negative value we get x=5
Answer:
Width of Photo=5
Length of photo=5+4=9
***
Verification:
Border size:
=(9+6)*(5+6)=15*11=165 sq units
OKAY