Question

A student has a rectangular bedroom. If listed as ordered pairs, the corners of the bedroom are (18, 25), (18, −11), (−19, 25), and (−19, −11). What is the perimeter in feet?

Answer 1

To find the perimeter of a rectangle, add up the lengths of all four sides. In this case, the given corners of the bedroom are (18, 25), (18, -11), (-19, 25), and (-19, -11). The length of one side is 37 units and the width is 36 units. The perimeter is 146 units.

Step-by-step explanation:

To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In this case, the given corners of the bedroom are (18, 25), (18, -11), (-19, 25), and (-19, -11). The length of one side can be found by subtracting the x-coordinates of two adjacent corners, and the width can be found by subtracting the y-coordinates of two adjacent corners.

The length = 18 - (-19) = 37 units and the width = 25 - (-11) = 36 units. So, the perimeter = 2(length + width) = 2(37 + 36) = 2(73) = 146 units.