Question

The area of a rectangular plot is 528 m. The length of the plot (in metres) is one
more than twice its breadth. We need to find the length and breadth of the plot.​

Answer 1

Answer:

$let \: length \: x \: metres \\ breadth \: y \: metres \\ area \: xy = 528 \: m {}^{2} \\ by \: problem \: x = 2y + 1 \\ (2y + 1)y = 528 \\ 2y {}^{2} + y - 528 = 0 \\ 2y {}^{2} - 32y +33y - 528 =0 \\ 2y(y - 16) + 33(y - 16) = 0 \\ (y - 16)(y + 33) = 0 \\ y = 16 m\\ x = 33m$