Verified Answer :

lateral area is area of sides, not including base and top

if we look at it, that means just find the area of the 2 triangles and the small rectangle at the end becaseu the other 2 rectangles are base and top

areatriangle=1/2bh
arearectangle=bh

arearectangle=515=75
area triangle (there are 2 of them )=2
1/2512=60
total is 75+60=135 mm^2