Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 10 to positive 10 in increments of 1. Unlabeled points are plotted at left parenthesis negative 6 comma 8 right parenthesis, left parenthesis 4 comma 8 right parenthesis, left parenthesis 4 comma negative 3 right parenthesis, and left parenthesis negative 6 comma negative 3 right parenthesis. A straight line joins the four points forming a rectangle.
What is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth, if necessary.
(1 point)
0
units
The length of the diagonal of the rectangle can be found using the distance formula. The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, we can use the formula to find the distance between (-6, 8) and (4, -3):
d = √((4 - (-6))^2 + (-3 - 8)^2)
= √((10)^2 + (-11)^2)
= √(100 + 121)
= √221
≈ 14.87 units
So, the length of the diagonal of the rectangle is approximately 14.87 units.