Calculate the perimeter of the rectangle that has endpoints at the ordered pairs 𝐴=(3,7), 𝐵=(12,7), 𝐶=(12,4), and 𝐷=(3,4).24 units18 units30 units36 units
Question
Calculate the perimeter of the rectangle that has endpoints at the ordered pairs 𝐴=(3,7), 𝐵=(12,7), 𝐶=(12,4), and 𝐷=(3,4).24 units18 units30 units36 units
Solution
To calculate the perimeter of a rectangle, you need to know the lengths of the sides. The sides of the rectangle are determined by the distance between the points.
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Calculate the length of AB (the horizontal side). This is the difference in the x-coordinates of B and A. Length AB = x-coordinate of B - x-coordinate of A = 12 - 3 = 9 units.
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Calculate the length of BC (the vertical side). This is the difference in the y-coordinates of C and B. Length BC = y-coordinate of B - y-coordinate of C = 7 - 4 = 3 units.
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The perimeter of a rectangle is given by the formula 2*(length + width). So, Perimeter = 2*(AB + BC) = 2*(9 + 3) = 2*12 = 24 units.
So, the perimeter of the rectangle is 24 units.
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