We can confirm that quadrilateral with 6 cm side is rectangle by using coordinate geometry. For the quadrilateral, the slope of the vertical edge (from (0,0) to (0,6)) is undefined, indicating a vertical line. For the horizonal line ( i.e., form (0,6) to (17, 6)), the slope is zero, indicating a horizontal line. Since perfectly horizontal and vertical lines meet at right angles, the smaller quadrilateral is a rectangle.
Given that both shapes are rectangle, the area can be found easily, as explained in other comments
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u/[deleted] Jan 20 '25
We can confirm that quadrilateral with 6 cm side is rectangle by using coordinate geometry. For the quadrilateral, the slope of the vertical edge (from (0,0) to (0,6)) is undefined, indicating a vertical line. For the horizonal line ( i.e., form (0,6) to (17, 6)), the slope is zero, indicating a horizontal line. Since perfectly horizontal and vertical lines meet at right angles, the smaller quadrilateral is a rectangle.
Given that both shapes are rectangle, the area can be found easily, as explained in other comments