The perimeter of Maya's room can be found by adding up the lengths of each side of the rectangle formed by the coordinates A, B, C, and D.
Side AB:
distance = sqrt((1-(-1))^2 + (7-7)^2) = sqrt(2^2 + 0^2) = sqrt(4) = 2 feet
Side BC:
distance = sqrt((1-1)^2 + (-1-7)^2) = sqrt(0^2 + (-8)^2) = sqrt(64) = 8 feet
Side CD:
distance = sqrt((-1-1)^2 + (-1-7)^2) = sqrt((-2)^2 + (-8)^2) = sqrt(4 + 64) = sqrt(68) = 8.246 feet (rounded to three decimal places)
Side DA:
distance = sqrt((-1-(-1))^2 + (-1-7)^2) = sqrt(0^2 + (-8)^2) = sqrt(64) = 8 feet
Therefore, the perimeter of Maya's room is:
2 + 8 + 8.246 + 8 = 26.246 feet
Maya can buy a desk that is up to 26.246 feet in perimeter for her room.
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?
1 answer
67 answers