Answer:
[tex]A=(17+7\sqrt7)\ m^2[/tex]
Step-by-step explanation:
Given that,
The length of the rectangle, [tex]l=(3+\sqrt7)\ m[/tex]
The width of the rectangle, [tex]b=(1+2\sqrt{7} )\ m[/tex]
We need to find the area of the rectangle. We know that the area of the rectangle is given by :
[tex]A=l\times b[/tex]
Put all the values in the above formula.
[tex]A=(3+\sqrt7)\times (1+2\sqrt7)\\\\=3+3\times 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2[/tex]
So, the area of the rectangle is [tex](17+7\sqrt7)\ m^2[/tex].
