Question

Given the coordinates (9, -2), (9, -11), (15 -4), and (15, -13), what is the length of each of the two longest sides of the quadrilateral, in cm? (1 point)

Answer 1

Using the distance formula, the length of the two longest sides of the quadrilateral can be calculated as follows:

1. Calculate the distance between (9, -2) and (9, -11):
d = √[(9 - 9)^2 + (-11 + 2)^2]
d = √[0^2 + (-9)^2]
d = √81
d = 9 cm

2. Calculate the distance between (9, -11) and (15, -13):
d = √[(15 - 9)^2 + (-13 + 11)^2]
d = √[6^2 + (-2)^2]
d = √[36 + 4]
d = √40
d ≈ 6.32 cm

3. Calculate the distance between (15, -4) and (15, -13):
d = √[(15 - 15)^2 + (-13 + 4)^2]
d = √[0^2 + (-9)^2]
d = √81
d = 9 cm

Therefore, the lengths of the two longest sides of the quadrilateral are 9 cm and 9 cm.