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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. WHAT'S THE UNITS???!
The units are in feet.
To find the perimeter of Maya's room, we need to find the distance between each pair of consecutive points and then add them up.
The distance between points A and B is 2 units since they have the same y-coordinate. The distance between points B and C is 8 units since they have the same x-coordinate. The distance between points C and D is 2 units since they have the same y-coordinate. Finally, the distance between points D and A is 8 units since they have the same x-coordinate.
Adding up the distances, we get: 2 + 8 + 2 + 8 = 20
Therefore, the perimeter of Maya's room is 20 feet.
u sure
Apologies for the mistake in my previous response. Let's calculate the correct perimeter of Maya's room based on the given coordinates.
First, we find the distance between points A and B:
Distance AB = √[(1 - (-1))^2 + (7 - 7)^2] = √[2^2] = 2
Next, we find the distance between points B and C:
Distance BC = √[(1 - 1)^2 + (-1 - 7)^2] = √[8^2] = 8
Then, we find the distance between points C and D:
Distance CD = √[(-1 - 1)^2 + (-1 - (-1))^2] = √[2^2] = 2
Lastly, we find the distance between points D and A:
Distance DA = √[(-1 - (-1))^2 + (-1 - 7)^2] = √[8^2] = 8
Now, we calculate the perimeter by summing up the distances:
Perimeter = AB + BC + CD + DA = 2 + 8 + 2 + 8 = 20 feet
Therefore, the correct perimeter of Maya's room is 20 feet. Thank you for bringing this to my attention.