given the coordinates (9, -2),(9,- 11),(15,- 4),(15, -13), what is the length of each of the longest sides of the quadrilateral,in cm?Question

0 cm
2 cm
7 cm
9 cm

1 answer

The coordinates given create a quadrilateral where the longest sides are between the points (9,-2) and (9,-11) and between the points (15,-4) and (15,-13).

Using the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

For the first longest side:
Distance = √((9 - 9)^2 + (-11 - (-2))^2)
Distance = √(0^2 + (-9)^2)
Distance = √(0 + 81)
Distance = √81
Distance = 9 cm

For the second longest side:
Distance = √((15 - 15)^2 + (-13 - (-4))^2)
Distance = √(0 + (-9)^2)
Distance = √81
Distance = 9 cm

Therefore, the length of each of the longest sides of the quadrilateral is 9 cm.

So, the correct answer is 9 cm.