Question

The following are the particles of the rectangle: A is 21, B is 51, C is 56, and D is 26. Given these coordinates, what is the length of side AB of this rectangle?

Answer 1

The length of side AB of the given rectangle is approximately 35.36 units.

Step-by-step explanation:

To find the length of side AB of the rectangle, we need to use the coordinates given for points A and B. Point A has the coordinates (21, 51) and point B has the coordinates (56, 26). Using the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and y-coordinates, we can calculate the length of side AB:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((56 - 21)^2 + (26 - 51)^2)

d = sqrt(25^2 + (-25)^2)

d = sqrt(625 + 625)

d = sqrt(1250)

d ≈ 35.36 units