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.
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)
1 answer