Question

The ratio of the length to breadth of rectangular field 4:3.if it's diagonal is200m the area of field in sqmeters is

Answer 1

Let the length be 4a and breadth be 3a
So By Pythagorean Theorem,
200^2= (4a)^2 + (3a)^2
200=√(16a^2+9a^2)
200=√(25a^2)
200=5a
a=40m
Length=4a=160m
Breadth=3a=120m
Area=LxB=160x120=19200m