Find the area of the rectangle ABCD if A (-5; 1) B (3; 1) C (3; -2).
| March 9, 2021 | education
To find the area of a rectangle, we first find what its sides are equal to. Points A and B have the same y coordinate, which means that side AB is parallel to the abscissa axis. Points C and B have the same x coordinate, which means the side CB is parallel to the ordinate axis. Accordingly, point D will have an x coordinate, like that of point A, so that AD is parallel to CB, and the ordinate should be like that of point C, so that CD is parallel to AB: D (-5; -2). To find the length of the side, you just need to find the difference of the corresponding coordinates in absolute value.
AB = 3 – (-5) = 8
AD = 1 – (-2) = 3
S = AB * AD
S = 8 * 3 = 24.
Answer: the area is 24.
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