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.

Answer 1

To find the perimeter of the mirror, we need to calculate the distance between each pair of points and then add them all up.

Using the distance formula:
Distance between points A and B:
AB = √((4 - (-3))^2 + (4 - 4)^2)
AB = √(7^2 + 0^2)
AB = √49
AB = 7 feet

Distance between points B and D:
BD = √((-3 - 4)^2 + (1 - 4)^2)
BD = √((-7)^2 + (-3)^2)
BD = √(49 + 9)
BD = √58
BD ≈ 7.62 feet

Distance between points D and C:
DC = √((-3 - (-3))^2 + (1 - 4)^2)
DC = √(0^2 + (-3)^2)
DC = √9
DC = 3 feet

Now, we can find the total perimeter by adding up the distances:
Perimeter = AB + BD + DC
Perimeter = 7 + 7.62 + 3
Perimeter ≈ 17.62 feet

Therefore, Amirah needs to buy a frame that is approximately 17.62 feet long to frame her bathroom mirror.

Answer 2

is the answer simplified?