The perimeter of a square field is 348 yards. How long is each side?

Mathematics

2 answers:

madreJ [45]3 years ago

8 0

Answer:

Step-by-step explanation:

348 divided by 4

lions [1.4K]3 years ago

4 0

Answer:

87 yards

Step-by-step explanation:

Recall that the side lengths of a square are equal to each other, so the perimeter is 4x (where x is the length of each side).

So, since the perimeter of the square field is 348 yards, just divide 348 by 4 to get 87.

So, 87 yards is the length of each side.

I hope that made sense. Feel free to let me know if you need anymore assistance.

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Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

$\rm j^2 = h^2 + i^2 -2hicosC$

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

$\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8$