Question

(-5, 1), (-5, -4), (5, - 2), (5, -7)

Give an exact answer (not a decimal approximation).
Simplify your answer as much as possible.

Answer 1

9514 1404 393

Answer:

10 +2√109

Explanation:

The short sides are vertical, so their length is the difference of the y-coordinates: 5.

The length of the long sides can be found from the distance formula:

d = √((x2 -x1)² +(y2 -y1)²)

d = √((5 -(-5))² +(-7 -(-4))²) = √(10² +(-3)²) = √109

There are two short sides and two long sides, so the perimeter is ...

P = 2(5 +√109)

P = 10 +2√109