Question 65692
Find the area of the rectangle:

Here is the best drawing I could do:

=================
=               =
=               =
=               =  dqrt3 + sqrt5
=               =
=               =
=================
  sqrt3 + sqrt5
The first thing I notice is that the length and the width is the same, so this is a special rectangle known as a square, but since it is presented to you as a rectangle, let's go with it.
The area of a rectangle is found with the formula: {{{highlight(A=LW)}}}, where A=area, L=length and W=width
L={{{sqrt(3)+sqrt(5)}}}
W={{{sqrt(3)+sqrt(5)}}}
{{{A=(sqrt(3)+sqrt(5))*(sqrt(3)+sqrt(5))}}}
{{{A=sqrt(3)(sqrt(3)+sqrt(5))+sqrt(5)(sqrt(3)+sqrt(5))}}}
{{{A=sqrt(3*3)+sqrt(3*5)+sqrt(5*3)+sqrt(5*5)}}}
{{{A=3+sqrt(15)+sqrt(15)+5}}}
{{{highlight(A=8+2sqrt(15))}}}
Happy Calculating!!!