Question

Rectangle WXYZ is shown on a coordinate plane. On a coordinate plane, a rectangle has 4 points. Point W is (1, 1), point X is (10, 1), point Y is (10, negative 3), and point Z is (1, negative 3). What is the length of side XY? units

Answer 1

Answer:

the length of the side XY is 4 units

Step-by-step explanation:

To find the length of side XY, what we do is to find the distance between the points X and Y

To find this distance, we employ the use of the formula for finding the distance between two points on a Cartesian plane.

Mathematically, the distance d which represents the length XY is given by;

d = √{(x2-x1)^2 + (y2-y1)^2}

Where point X represents the coordinates (x1,y1) = (10,1) while point Y represents the coordinates (x2,y2) = (10,-3)

Plugging these values into the formula, we have;

d = √{(10-10)^2 + (-3-1)^2}

d = √{(0)^2 + (-4)^2}

d = √(0 + 16)

d = √(16)

d = ± 4

but since distance cannot be negative, we ignore the -4 and thus we choose 4 units as the length between the points XY