Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Using the distance formula ( √((x2-x1)^2 + (y2-y1)^2) ):

1. Distance between A and B:
√((4 - (-3))^2 + (4 - 4)^2)
= √(7^2 + 0^2)
= √(49)
= 7 feet

2. Distance between B and C:
√((-3 - 4)^2 + (4 - 4)^2)
= √(-7^2 + 0^2)
= √(49)
= 7 feet

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

4. Distance between D and A:
√((-3 - (-3))^2 + (1 - 4)^2)
= √(0^2 + (-3)^2)
= √(9)
= 3 feet

Now, sum up the distances:
7 + 7 + 3 + 3 = 20 feet

Therefore, the perimeter of the mirror is 20 feet. Amirah needs to buy a frame that is at least 20 feet long.