Question

Find the area and perimeter of the rectangle with vertices (5 , -7) (5 ,1) (-2 ,1) and (-2, -7).

Answer 1

If you plot the points, you will see that the sides are vertical and horizontal lines.
Thus all you have to do is "count" what the length and width of the rectangle is.

Answer 2

7|
6|
5|
4|
3|
2|
(-2,1) *""""""""""1|""""""""""""""""""""""""""* (5,1)
__________________|_______0_________________|________
-7 -6 -5 -4 -3 -2 -1 -1| 1 2 3 4 5 6 7
| -2| |
| -3| |
| -4| |
| -5| |
| -6| |
(-2,-7) *"""""""" -7|"""""""""""""""""""""""""""* (5,-7)


On the coordinate plane I made, the rectangle which looks sort of like a square has a length(top and bottom) of 7 units, and a width(left and right side) of 8 units.

Perimeter of a Rectangle is 2l + 2w. The area is Length * Width.

The area of the Rectangle is 56 units, because 7 * 8 = 56.

The perimeter is 30 units, because 2 * 7 + 2 * 8 simplifies to 14 + 16, and that equals 30.

Answer 3

ouch don't pay attention to the coordinate plane, the typing box is inaccurate and doesn't really allow you to make a coordinate plane or something similar like you want it to, but the answer below is correct.