Question

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 1),B(3,1), C (3,4) D(-2,4). What is the perimeter of rectangle ABCD?

Answer 1

16 units

Explanation:

Rectangle perimeter = width + width + height + height = 2 (width) + 2 (height)

To find the length of one of the sides of the rectangle, I am going to find the distance between points A and B.

The y-xoordinates are the same for A and B, so this is a horizontal line. This means we are measuring the width of the rectangle.

To find the distance, we take 3 - -2 = 5 units

So the width of the rectangle is 5 units.

We can do the same thing to find the height of the rectangle using B and C.

They have the same x-coordinates, so the distance between them will be the difference in the y-coordinates.

4 - 1 = 3, so the height of the rectangle is 3.

Finally, to find the perimeter, we do 2(5) + 2(3) = 16 units

The perimeter of the rectangle is 16 units.

I hope this helps!