Amirah wants to frame her bathroom mirror. She creates a map with the coordinates A(−3,4), B(4,4), C(−3,4), and D(−3,1). Each unit on the coordinate plane represents 1 foot. Find the perimeter of the mirror to determine how big of a frame Amirah needs to buy.(1 point)
To find the perimeter of the mirror, we need to calculate the distance between each pair of consecutive points A, B, C, and D.
Using the distance formula:
AB = √[(4 - (-3))^2 + (4 - 4)^2] = √[7^2 + 0] = √49 = 7 feet
BC = √[(4 - (-3))^2 + (4 - 4)^2] = √[7^2 + 0] = √49 = 7 feet
CD = √[(-3 - (-3))^2 + (1 - 4)^2] = √[0 + (-3)^2] = √9 = 3 feet
DA = √[(-3 - (-3))^2 + (1 - 4)^2] = √[0 + (-3)^2] = √9 = 3 feet
Now, we add the distances to find the perimeter:
Perimeter = AB + BC + CD + DA
Perimeter = 7 + 7 + 3 + 3
Perimeter = 20 feet
Amirah needs to buy a frame with a perimeter of at least 20 feet to frame her bathroom mirror.