The equation of one side of a rectangle is 3x−4y−10=0 and the coordinates of two of its vertices are (−2,1) and (2, 4).Then,  the area of the rectangle, in square units, is

We observe that none of the vertices A(−2,1) and B(2,4) ) lie on the side 3x−4y−10=0. Therefore,Length of one side of the rectangle is AB=(−2−2)2+(1−4)2=5Also, Length of the other side= Length of the perpendicular drawn from A(−2,1) on                                                        3x−4y−10=0=−6−4−109+16=4∴       Area of the rectangle =  5 x 4 = 20 sq. units