What is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?A.30 units2B.35 units2C.24 units2D.44 units2SUBMITarrow_backPREVIOUS
Question
What is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?A.30 units2B.35 units2C.24 units2D.44 units2SUBMITarrow_backPREVIOUS
Solution
The area of a rectangle is calculated by multiplying its length by its width.
First, we need to determine the length and width of the rectangle. We can do this by subtracting the x-coordinates and the y-coordinates of any two points that form the sides of the rectangle.
The length of the rectangle is the difference between the y-coordinates of the points (2, 10) and (2, 3), which is 10 - 3 = 7 units.
The width of the rectangle is the difference between the x-coordinates of the points (7, 3) and (2, 3), which is 7 - 2 = 5 units.
Now, we can calculate the area of the rectangle by multiplying the length by the width, which is 7 units * 5 units = 35 units^2.
So, the correct answer is B.35 units^2.
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