Maya is buying a new desk for her room. She creates a map with the coordinates A(−1,7), B(1,7), C(1,−1), and D(−1,−1). Each unit on the coordinate plane represents 1 foot. Find the perimeter of her room to help her determine how big of a desk Maya can buy.(1 point)
To find the perimeter of the room, we need to add up the lengths of all the sides.
Side AB: Distance between A(-1,7) and B(1,7) is 2 units (2 feet).
Side BC: Distance between B(1,7) and C(1,-1) is 8 units (8 feet).
Side CD: Distance between C(1,-1) and D(-1,-1) is 2 units (2 feet).
Side DA: Distance between D(-1,-1) and A(-1,7) is 8 units (8 feet).
Adding up the lengths of all sides:
2 + 8 + 2 + 8 = 20
So, the perimeter of Maya's room is 20 feet. This means that she can buy a desk that is smaller than or equal to 20 feet in length.