To find the perimeter of Maya's room, we need to calculate the sum of the lengths of all four sides of the rectangle formed by the coordinates A, B, C, and D.
The distance between points A and B can be found using the distance formula:
AB = √[(1 - (-1))^2 + (7 - 7)^2]
AB = √[(2)^2 + (0)^2]
AB = √(4)
AB = 2
The distance between points B and C can be found using the distance formula:
BC = √[(1 - 1)^2 + (-1 - 7)^2]
BC = √[(0)^2 + (-8)^2]
BC = √(64)
BC = 8
The distance between points C and D can be found using the distance formula:
CD = √[(-1 - 1)^2 + (-1 - (-1))^2]
CD = √[(-2)^2 + (0)^2]
CD = √(4)
CD = 2
The distance between points D and A can be found using the distance formula:
DA = √[(-1 - (-1))^2 + (-1 - 7)^2]
DA = √[(0)^2 + (-8)^2]
DA = √(64)
DA = 8
Now, we can simply add up the lengths of the sides of the rectangle to find the perimeter:
Perimeter = AB + BC + CD + DA
Perimeter = 2 + 8 + 2 + 8
Perimeter = 20 feet
Maya can buy a desk with a perimeter of up to 20 feet to fit in her room.
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.
3 answers
wrong
Let's try calculating the perimeter of Maya's room again.
The distance between points A and B can be found using the distance formula:
AB = √[(1 - (-1))^2 + (7 - 7)^2]
AB = √[(2)^2 + (0)^2]
AB = √(4)
AB = 2
The distance between points B and C can be found using the distance formula:
BC = √[(1 - 1)^2 + (-1 - 7)^2]
BC = √[(0)^2 + (-8)^2]
BC = √(64)
BC = 8
The distance between points C and D can be found using the distance formula:
CD = √[(-1 - 1)^2 + (-1 - (-1))^2]
CD = √[(-2)^2 + (0)^2]
CD = √(4)
CD = 2
The distance between points D and A can be found using the distance formula:
DA = √[(-1 - (-1))^2 + (-1 - 7)^2]
DA = √[(0)^2 + (-8)^2]
DA = √(64)
DA = 8
Now, we can simply add up the lengths of the sides of the rectangle to find the perimeter:
Perimeter = AB + BC + CD + DA
Perimeter = 2 + 8 + 2 + 8
Perimeter = 20 feet
The perimeter of Maya's room is 20 feet.
The distance between points A and B can be found using the distance formula:
AB = √[(1 - (-1))^2 + (7 - 7)^2]
AB = √[(2)^2 + (0)^2]
AB = √(4)
AB = 2
The distance between points B and C can be found using the distance formula:
BC = √[(1 - 1)^2 + (-1 - 7)^2]
BC = √[(0)^2 + (-8)^2]
BC = √(64)
BC = 8
The distance between points C and D can be found using the distance formula:
CD = √[(-1 - 1)^2 + (-1 - (-1))^2]
CD = √[(-2)^2 + (0)^2]
CD = √(4)
CD = 2
The distance between points D and A can be found using the distance formula:
DA = √[(-1 - (-1))^2 + (-1 - 7)^2]
DA = √[(0)^2 + (-8)^2]
DA = √(64)
DA = 8
Now, we can simply add up the lengths of the sides of the rectangle to find the perimeter:
Perimeter = AB + BC + CD + DA
Perimeter = 2 + 8 + 2 + 8
Perimeter = 20 feet
The perimeter of Maya's room is 20 feet.
1 answer