Question

The coordinates of the vertices of a rectangle are (–2, 3), (4, 3), (4, –4), and (–2, –4). What are the dimensions of the rectangle?

Answer 1

find distance of side = (y₂- y₁) / (x₂- x₁)

you can get length and width
then area = length * width
perimeter = 2 * (length + width)

Answer 2

The perimeter of the rectangle is 26 units. You know this because you have one horizontal side of the rectangle going between (-2,3) and (4,3) and another horizontal side including (4,-4) and (-2,-4). You know these are horizontal lines because they pass through the same y coordinates. To find how long these sides are, you simply find the difference between the x coordinates of these points, which is 6 for both sides, because it is a rectangle. Do the same for the vertical lines of the rectangle, and this time take the difference of the y coordinates because the x coordinates stay the same. In this case, the vertical sides of this rectangle are 7 units long. Add up all four sides: 6+6+7+7=26