Opposite sides of a rectangle are equal, then (5x + 3) = (2x + 9)
5x - 2x = 9 - 3
3x = 6
x = $\;{6}/{3}$ = 2.
Put x = 2 in either (5x + 3) or (2x + 9) = 13m
Adjacent side (6x - 7) (given) also put x = 2 into it, 6(2) - 7 = 5
Area of rectangle = length x breadth(width) = 13 x 5 = 65 m$^2$