Rectangle ABCD has vertices point A (−5, 1) , point B (−2, 1) , point C (−2, 6) , and point D (−5, 6) . Find the perimeter of the rectangle in feet.(1 point)

The perimeter of rectangle ABCD is
feet.

3 answers

The length of the rectangle is the distance between points A and D, which can be found using the distance formula:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

d = √[(-5 - (-5))^2 + (6 - 1)^2] = √[0 + 25] = √25 = 5 feet

The width of the rectangle is the distance between points B and C, which can also be found using the distance formula:

d = √[(-2 - (-2))^2 + (6 - 1)^2] = √[0 + 25] = √25 = 5 feet

Since the perimeter of a rectangle is the sum of all its sides, we can calculate it as:

Perimeter = 2*(Length + Width) = 2*(5 + 5) = 2*10 = 20 feet

Therefore, the perimeter of rectangle ABCD is 20 feet.
wrong try again
My apologies for the mistake. Let's try again.

The length of the rectangle is the distance between points A and D:

d = √[(-5 - (-5))^2 + (6 - 1)^2]
d = √[0 + 25]
d = √25
d = 5 feet

The width of the rectangle is the distance between points B and C:

d = √[(-2 - (-2))^2 + (6 - 1)^2]
d = √[0 + 25]
d = √25
d = 5 feet

The perimeter of the rectangle is the sum of all its sides:

Perimeter = 2*(Length + Width)
Perimeter = 2*(5 + 5)
Perimeter = 2*(10)
Perimeter = 20 feet

Therefore, the correct perimeter of rectangle ABCD is 20 feet.