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)
feet
The perimeter of a rectangle can be found by adding up all the lengths of its sides.
Using the distance formula, the distance between points A and B is
√((1-(-1))² + (7-7)²) = √2² = 2
The distance between points B and C is
√((1-1)² + (-1-7)²) = √(-6)² = 6
The distance between points C and D is
√((-1-1)² + (-1-7)²) = √(-2)² = 2
The distance between points D and A is
√((-1-(-1))² + (-1-7)²) = √(-8)² = 8
Therefore, the perimeter of the room is
2 + 6 + 2 + 8 = 18 feet
So, Maya can buy a desk that is up to 18 feet in perimeter to fit in her room.