Question

find the area of rectangular plot, one side of which is 48m and its diagonal is 50m

Answer 1

one side=48m
diagonal=50m
other side=x

by Pythagoras theorem, (since all the angles of a rectangle are 90degree)

(50)^2= (48)^2+ x^2
2500=2304+x^2
2500-2304=x^2
196=x^2
root 196= x
14=x

the other side =14

area=l*b
=14*48
=672m^2

Answer 2

since all the angles of the rectngle are 90 degrees and diagonal divedes it into two right angled triangles.

using pythagoras theoram
$h^{2} = b^{2} + p^{2}$
p=$\sqrt{50}^{2} -48 ^{2}$
p=2500-2304
p=$\sqrt{196}$
p=14m

then area of rectangular plot will be 48*14=672$m^{2}$

hope it helps