Find the perimeter of rectangle ABCD , with vertices A(−8,3) , B(−1,3) , C(−1,−6) , and D(−8,−6) .(
To find the perimeter of the rectangle, we need to add up the lengths of all four sides.
The length of side AB can be found using the distance formula:
AB = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
AB = sqrt[(-1 - (-8))^2 + (3 - 3)^2]
AB = sqrt[7^2 + 0]
AB = sqrt[49] = 7
Similarly, the length of side BC, CD, and AD are also 7 units each.
Therefore, the perimeter of rectangle ABCD is:
Perimeter = AB + BC + CD + AD
Perimeter = 7 + 7 + 7 + 7
Perimeter = 28 units
So, the perimeter of rectangle ABCD is 28 units.