The points (-10,5) and (4,5) are two vertices of a rectangle. Find two other points that make a rectangle with a perimeter of 44 units.

Answer 1

make a sketch, notice the 2 given points form a horizontal line, and has length 14

So the other side must be a vertical line
let the point below (4,5) be (4,y)
then (5-y) + 14 = 22
y = -3
So the point below (4,5) is (4,-3)
and the point below (-10,5) is (-10, -3)

the point could also be above (4,5)
then y-5 + 14 = 22
y = 13
and the two points are (4,13) and (-10,13)