The area of the rectangle is 35 units²
Step-by-step explanation:
Let us explain the horizontal and vertical segment
- If the x-coordinates of end-points of a segment are equal, then the segment is vertical and its length is the difference between their y-coordinates
- If the y-coordinates of end-points of a segment are equal, then the segment is horizontal and its length is the difference between their x-coordinates
- The horizontal and vertical segments are perpendicular
The length and the width of a rectangle are perpendicular
∵ The vertices of a rectangle are (2 , 3), (9 , 3), (9 , -2), and (2 , -2)
∵ The points (2 , 3) and (9 , 3) have same y-coordinates
- That means the side joining these two vertices is horizontal
∴ The length of the rectangle is a horizontal segment
- Find its length by subtracting their x-coordinates
∴ The length of the rectangle = 9 - 2 = 7 units
∵ Points (9 , 3) and (9 , -2) have same x-coordinates
- That means the side joining these two vertices is vertical
∴ The width of the rectangle is a vertical segment
- Find its width by subtracting their y-coordinates
∴ The width of the rectangle = 3 - (-2) = 3 + 2 = 5 units
∵ The area of a rectangle = length × width
∵ The length = 7 units
∵ The width = 5 units
∴ The area of the rectangle = 7 × 5 = 35 units²
The area of the rectangle is 35 units²
Learn more:
You can learn more about the rectangles in brainly.com/question/12919591
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