Answer
$82 ft-lbs$
Work Step by Step
Given the force $F = <2, 8>$ and the object moving from (2,5) to (11, 13)
The question asks for the work done in foot-pounds.
So $D = <11 - 2, 13 - 5> = <9, 8>$
Work is equal to the dot product of the Force Vectors and Distance Vectors
$W = <2, 8> * <9, 8>$
$2 * 9 + 8 * 8$
$82 ft-lbs$
