What is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth if necessary, when the plot points are (-6,-3) (4,-3) (4,8) (-6,8)

Answer 1

To find the length of the diagonal of a rectangle, we can use the distance formula.

The coordinates of the first point are (-6, -3), and the coordinates of the opposite point are (4, 8). We can use these coordinates to find the distance between these two points.

Using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((4 - (-6))^2 + (8 - (-3))^2)
d = sqrt((4 + 6)^2 + (8 + 3)^2)
d = sqrt(10^2 + 11^2)
d = sqrt(100 + 121)
d = sqrt(221)

Rounding to the nearest hundredth, the length of the diagonal of the rectangle is approximately 14.87.