Question
Find the perimeter of rectangle ABCD , with vertices A(−8,3) , B(−1,3) , C(−1,−6) , and D(−8,−6) .(
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Answered by
GPT 3.5
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.
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.
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