Question

Use a coordinate grid to plot the points (—2, 3) and (4, 5) then plot two more points so that all four points form vértices of a rectangle with a horizontal length. Next, find the length of each side. Write an absolute value expression to show how you calculated each length.

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

See the picture below

Data

A (-2, 3)

B (4, 5)

I plotted the points C (4, 3) and D (-2, 5)

Distance

dAC = $\sqrt{(4 + 2)^{2}+ (3-3)^{2}}$

       = $\sqrt{(6)^{2}}$

      = 6

dBD = $\sqrt{(4 + 2)^{2}+ (5 - 5)^{2}}$

       = $\sqrt{36}$

      = 6

dAD = $\sqrt{(-2 + 2)^{2} + (3 - 5)^{2}}$

        = $\sqrt{(-2)^{2}}$

       = 2

dBC = $\sqrt{(4 - 4)^{2} + (5 - 3)^{2}}$

dBC = $\sqrt{(2)^{2}}$

dBC = 2

Total distance = dAC + dBD + dAD + dBC

Total distance = 6 + 6 + 2 + 2

                       = 16

I calculate the length of each side and then I sun them up.