The question in English
A small farmer in the interior of Par, when measuring his rectangular terrain, realized that his dimension is in reason 5/7. If the terrain area is 2240 m2, then its largest dimension in meters is
Let
x--------> the smallest dimension of the rectangular terrain
y--------> the largest dimension of the rectangular terrain
we know that
the area of the rectangular terrain is
[tex]A=x*y[/tex]
[tex]A=2,240\ m^{2}[/tex]
so
[tex]2,240=x*y[/tex] -------> equation A
[tex]\frac{x}{y}=\frac{5}{7}[/tex]
[tex]x=\frac{5}{7}y[/tex] -------> equation B
substitute the equation B in equation A
[tex]2,240=[\frac{5}{7}y]*y\\\\5y^{2}= 15,680\\ \\y^{2}=3,136\\ \\y=56\ m[/tex]
therefore
the answer is the option D
[tex]56\ m[/tex]
