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

To calculate the length of each of the two longest sides of the quadrilateral, we can use the distance formula.

For the points (9, -2) and (9, -11), the distance is:
√((9-9)^2 + (-11-(-2))^2)
= √(0 + 81)
= √81
= 9 cm

For the points (9, -2) and (15, -4), the distance is:
√((15-9)^2 + (-4-(-2))^2)
= √(36 + 4)
= √40
= 2√10 approx 6.32 cm

For the points (9, -11) and (15, -13), the distance is:
√((15-9)^2 + (-13-(-11))^2)
= √(36 + 4)
= √40
= 2√10 approx 6.32 cm

For the points (15, -4) and (15, -13), the distance is:
√((15-15)^2 + (-13-(-4))^2)
= √(0 + 81)
= √81
= 9 cm

Therefore, the two longest sides of the quadrilateral are both 9 cm long.