Question 132854
You have two questions here.

Question(1).
for the long side of the rectangle is x,
the short side of the rectangle is y,
x*y=36m^2
x=2sqrt3 y=36/2sqrt3=6sqrt3
perimeter=2(x+y)=2(2sqrt3+6sqrt3)=16sq...


Question (2)
short leg of triangle=a
long leg of triangle=b
hypotenus=h=2a
h^2=a^2+b^2
b^2=3a^2
b=asqrt3
h+a+b=3a+b=24
3a+asqrt3=24, a(3+sqrt3)=24, a=24/(3+sqrt3)
if we multiply the denominator with (3-3sqrt3)
then a=(12-4sqrt3)
b=sqrt3*a=sqrt3*(12-4sqrt3)=12sqrt3-12
h=2a=24-8sqrt3