Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
=
=
=
= =
Distance between points ( 2, 5 ) and ( 7, 0 )
=
=
=
= =
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly as well. Therefore, you can say that the perimeter of this triangle is
=
. Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.