Question

Two of the vertices of a rectangle are (6,1) and (7,1). If the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices?

Answer 1

(6,9) and (7,9) - assuming the graph only has a single quadrant and the rectangle is vertical

Explanation:

We know that the distance between (6,1) and (7,1) is one unit. Because a rectangle has 2 pairs of equal sides, we know that the distance between the 2 missing coordinates is equal to one. We then add these two units. Because the rectangle has a parameter of 18 units, we then have to subtract these 2 units from the total, leaving us with 16 units for both sides. We then divide 16 by 2 because there are 2 sides, leaving us with 8 units for each side. Assuming we are working with a coordinate graph (with only one quadrant instead of 4 on a coordinate plane), and assuming the rectangle is vertical, the missing coordinates should be 8 units above the coordinates you were given. Hope this helps! :)