Sarah has a rectangular corral for her horses. She wants to put new rail fencing all around the corral. What total lenght of fencing will she need.

Description of the corral: in my book it is square and around the square is a length of 28m and inside the square if you go diagonaaly its a lenght of 42m .

I tried and tried I don't get this question please help

the 2 part to this question is if the rail fencing costs $15/m what will be the total cost of the fencing before tax, please help

HELP PLease, I need it more than anything, I dislike math

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please answer this question I need to know fast. I've been waiting for an whole day 4 u to answer this. PLEASE help me

elina: Something is wrong. If the square is 28 to a side, the diagnonal has to be 39.5.

Is it a rectangle?

yeha I guess its a rectangle, I don't know it looks like a square in my book

To find the total length of fencing Sarah will need, we need to calculate the perimeter of the corral.

Based on the given information, the corral consists of a larger square (outer fence) and a smaller square (inner fence). The length of the outer fence is 28 meters, and if you go diagonally across the inner square, it is a length of 42 meters.

To find the length of one side of the inner square, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the diagonal of the inner square, which is 42 meters, and the other two sides are equal in length.

Let's call the length of one side of the inner square "x." Then, applying the Pythagorean theorem:

x^2 + x^2 = 42^2
2x^2 = 1764
x^2 = 882
x ≈ 29.7 meters (approximate value)

Since the corral is square, all four sides have the same length. Therefore, the perimeter of the inner square is 4 times the length of one side:

Perimeter of inner square = 4x ≈ 4 * 29.7 ≈ 118.8 meters (approximate value)

Now, to find the total length of fencing Sarah will need, we add the perimeter of the outer square to the perimeter of the inner square:

Total length of fencing = Perimeter of outer square + Perimeter of inner square
= 28 + 118.8
= 146.8 meters

Therefore, Sarah will need approximately 146.8 meters of fencing in total for her rectangular corral.