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tatyana61 [14]
3 years ago
11

Euclid Park is shaped like a square, with side length s, and has an area of 121 square kilometers. This equation shows the area

of the park: s^2=121
What is the perimeter of the park?

A. 44 km
B. 121 km
C. 11 km
D. 22 km
Mathematics
2 answers:
jenyasd209 [6]3 years ago
5 0
One side is 11
So 11 times 4 is 44 meaning A is the answer
Vlad [161]3 years ago
4 0

Answer:

Option A - 44 km

Step-by-step explanation:

Given : Euclid Park is shaped like a square, with side length s, and has an area of 121 square kilometers. This equation shows the area of the park: s^2=121

To find : What is the perimeter of the park?

Solution :

The equation shows the area of the park is represented by

s^2=121

So, the side of the square is

s=\sqrt{121}

s=11

The perimeter of the park is P=4\times s

P=4\times 11

P=44

Therefore, The perimeter of the park is 44 km.

So, Option A is correct.

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Length: 3w-4

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Answer:

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equations are  x₁+4 x₂ = 11 ...(i)

                                 2 x₁ + 7 x₂= 18 ...(ii)

The matrix form

                                A X = B

            \left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right]  \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right]

<u>Step(ii):-</u>

      \left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right]  \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right]

The Augmented Matrix form is

[AB] = \left[\begin{array}{ccc}1&4&11\\2&7&18\\\end{array}\right]

Apply Row operations,  R₂ → R₂-2 R₁

[AB] = \left[\begin{array}{ccc}1&4&11\\0&-1&-4\\\end{array}\right]  

The matrix form

                   \left[\begin{array}{ccc}1&4\\0&-1\\\end{array}\right]  \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\-4\\\end{array}\right]

The equations are

                     x₁ + 4 x₂ = 11 ...(a)

                         - x ₂ = - 4

                            x ₂ = 4

Substitute   x ₂ = 4 in equation (a)

                      x₁ + 4 x₂ = 11

                      x₁ = 11 - 16

                        x₁ = -5

<u>Final answer</u>:-

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

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