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.√5+√3 meters

B.(3√35)/7+(2√15)/5 meters

C.(6√35)/7+(4√15)/5 meters

D.6√5+4√3 meters

I did B. and got it wrong, so I no it is not that, but when I divide the radical, I don't get any of the answers. Please help!

Also, if you can provide a walk through, it would be great.

It would be great if someone could answer as soon as possible

I know how to do up until I get to (3√35)/7, and (2√15)/5. But I do not know what to do after that.

(6√5)+(4√3)

fbfzbfgr

To find the perimeter of the fence, we need to add up the lengths of all four sides of the rectangle.

Let's first simplify the given dimensions of the fence:
Width = (3√5)/√7 meters
Length = (2√3)/√5 meters

To find the perimeter, we'll calculate each side of the fence separately.

1. Width:
The width consists of two equal sides. Hence, we multiply the width by 2:
Width = 2 * (3√5)/√7 meters

2. Length:
Similarly, the length consists of two equal sides, so we multiply the length by 2:
Length = 2 * (2√3)/√5 meters

Now, let's simplify both the width and length:

1. Simplifying the width:
Width = 2 * (3√5)/√7 meters
= (6√5)/√7 meters

2. Simplifying the length:
Length = 2 * (2√3)/√5 meters
= (4√3)/√5 meters

Now, let's find the perimeter by adding up all four sides:

Perimeter = Width + Width + Length + Length
= (6√5)/√7 + (6√5)/√7 + (4√3)/√5 + (4√3)/√5
= (6√5 + 6√5)/√7 + (4√3 + 4√3)/√5
= (12√5)/√7 + (8√3)/√5

To combine the radicals in the denominator, we multiply each expression by its conjugate:

Perimeter = ((12√5)/√7) * (√7/√7) + ((8√3)/√5) * (√5/√5)
= (12√35)/7 + (8√15)/5

Therefore, the exact perimeter of the fence is (12√35)/7 + (8√15)/5 meters.

The correct answer is C. (6√35)/7 + (4√15)/5 meters.