IS THE ANSWER IS B

Question

DEFG models the shape of a pig pen on a farm. What is the perimeter of the pen?

A, √8 +3

B,√8+9

C,√10 + √17

D,2√10 + 2√17

Answer 1

If I draw a straight line from D to (6,1) and another from (6,1) to G, I have a right triangle where DG is the hypotenuse.

My horizontal line is 4 long and my vertical line is 1 long.

a² + b² = c²

c = √(a² + b²)

c = √(16 + 1) = √17

Since EF has the same length, your answer is D.

Answer 2

the perimeter = 2sq10 + 2sqr17

two sides are sqr10 each

the other two sides are sqr17 each

the sides are hypotenuses of right triangles

with sides 4 and 1 for two of them

and sides 3 and 1 for the other two

h^2 = 4^2+1^2

h = sqr(16+1)= sqr17

for the other two sides

h= sqr(9+1) = sqr10

D is the correct answer