Calculate the area of the rectangle with the coordinates 𝐴=(3,7), 𝐵=(12,7), 𝐶=(12,4), and 𝐷=(3,4).HINT: The formula for the area of a rectangle is length × width.32 units squared18 units squared27 units squared30 units squared
Question
Calculate the area of the rectangle with the coordinates 𝐴=(3,7), 𝐵=(12,7), 𝐶=(12,4), and 𝐷=(3,4).HINT: The formula for the area of a rectangle is length × width.32 units squared18 units squared27 units squared30 units squared
Solution
To calculate the area of a rectangle, we need to find the length and the width.
The length of the rectangle can be calculated by finding the difference in the x-coordinates of points A and B (or C and D).
Length = x2 - x1 = 12 - 3 = 9 units
The width of the rectangle can be calculated by finding the difference in the y-coordinates of points A and D (or B and C).
Width = y2 - y1 = 7 - 4 = 3 units
Now, we can calculate the area of the rectangle using the formula: Area = length × width
Area = 9 units × 3 units = 27 units squared
So, the area of the rectangle is 27 units squared.
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