The calculated perimeter of rectangle ABCD is 14 units
What is the perimeter of rectangle ABCD
From the question, we have the following parameters that can be used in our computation:
A(5, 1) B(7, 1) C(7,6) and D(5, 6)
The distance and the lengths between the points can be calculated using
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the above as a guide, we have the following:
AB = √[(5 - 7)² + (1 - 1)²] = 2
BC = √[(7 - 7)² + (1 - 6)²] = 5
CD = √[(7 - 5)² + (6 - 6)²] = 2
DA = √[(5 - 5)² + (6 - 1)²] = 5
The perimeter of a rectangle is the sum of the side lengths
So, we have
Perimeter, P = AB + BC + CD + DA
Substitute the known values into the equation
P = 2 + 5 + 5 + 2
Evaluate
P = 14
Hence, the perimeter is 14 units