A landowner wishes to construct a fence around a small section of her property. The fence is rectangular and is (3√5)/√7 meters wide and (2√3)/√5 meters long. What is the exact perimeter of the fence? (Recall that the perimeter is the sum of each individual side of a shape.)

A landowner wishes to construct a fence around a small section of her property The fence is rectangular and is 357 meters wide and 235 meters long What is the e class=

Respuesta :

 2 * 3 sqrt5         2 * 2 sqrt3
--------------  +      --------------
   sqrt7                    sqrt5

Now multiply  the first fraction by sqrt7 / sqrt7 and the second by sqrt5 / sqrt5

=   6 sqrt35         4 sqrt15 
    ------------ +      -----------
          7                    5

So it C.




Answer:

The correct answer is option C

Step-by-step explanation:

The perimeter of a rectangular track is

[tex]2 L + 2 W\\[/tex]

Where L is the length of the rectangular track

W is the width of the rectangular track

Substituting the given values of L and W in above equation, we get -

[tex]2 (\frac{2\sqrt{3} }{\sqrt{5} })  + 2(\frac{3\sqrt{5} }{\sqrt{7} })\\= (\frac{4\sqrt{3} }{\sqrt{5} })  + (\frac{6\sqrt{5} }{\sqrt{7} })\\[/tex]

[tex](\frac{4\sqrt{3} }{\sqrt{5} }) *\frac{\sqrt{5}}{\sqrt{5}}    + (\frac{6\sqrt{5} }{\sqrt{7} })*\frac{\sqrt{7}}{\sqrt{7}}\\= (\frac{4\sqrt{15} }{5 }) + (\frac{6\sqrt{35} }{7} })[/tex]