Help please Geometry

Question

Examine the diagram and information to answer the question. Rectangle EFGH has vertices at E(7,7), F(1,5), G(2,2), and H(8,4).

How many units is the perimeter of rectangle

a) 10√13

b) 5√10

c) 20

d) 6√10

Answer 1

We've got to use trig.a^2+b^2=c^2.

By looking at the diagram I get 2^2+6^2=40^.5=6.32

and 1^2+3^2=10^.5=3.16

+=9.48*2=18.96=d

Answer 2

Use distance formula to find two of the sides. EF = sqrt[(7-1)² + (7-5)²] = sqrt(40) = sqrt(4*10) = 2sqrt(10) = GH. FG = sqrt[(2-1)² + (2-5)²] = sqrt(10) = EH. Perimeter = 2* 2sqrt(10) + 2* sqrt(10) = 6 sqrt(10).