Question

example 2: what are the lengths of the rectangle abcd? data points: (-4, 2), (3, 2), (3, -2), (-4, -2) examine the plotted rectangle to your right. you can find the lengths of each side by counting the number of blocks used. for instance, line segment \\(\overline{ab}\\) on the cartesian plane is 7 blocks in length. line segment \\(\overline{bc}\\) is 4 blocks in length, and so on.

Explanation:

Step1: Calculate length of AB

Subtract x-coordinates: $3 - (-4) = 7$

Step2: Calculate length of BC

Subtract y-coordinates: $2 - (-2) = 4$

Step3: Identify rectangle side pairs

Opposite sides of a rectangle are equal.

Answer:

The lengths of the sides of rectangle ABCD are 7 units and 4 units (the two distinct side lengths; the longer sides are 7 units, shorter sides are 4 units).