A farmer has 300 feet of fence available to

enclose a 4500 square foot region in the

shape of adjoining squares, with sides of

length x and y. The big square has sides of

length x and the small square has sides of

length y. Find x and y.

UUUULTTUUL

x= ? feet

y = ? feet

Answers

Answer 1

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

A Farmer Has 300 Feet Of Fence Available Toenclose A 4500 Square Foot Region In Theshape Of Adjoining

Related Questions

can someone help, please! also i'm giving brainliest

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2 = Distributive Property (you are distributing the -5 to the x and the -6)

1 = Given (its the original equation)

3 = Addition Property of Equality (you add 5x to both sides)

4 = Division Property of Equality (you divide both sides by 15)

Classify a triangle that has 2 equal sides and two angles measuring 53 degrees?
A. Isosceles and Obtuse
B. Isosceles and Acute
C. Scalene and Right
D. Equilateral and AcutE

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Answer:

B

Step-by-step explanation:

In geometry, an isosceles triangle is a triangle that has two sides of equal length.   An acute angle is less than 90 degrees. Have a great day!

-3 - 2 .....................................................

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Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

thats a deep comment

solve x3 = 8. A. x = 2.8. B. x = 2. C. x = 4. D. x = 8/3

Answers

Answer:

Option B x=2

Step-by-step explanation:

Assuming that the problem is X^3=8 you can find the cubed root of 8 which is 2

PLS HELP WILL GIVE BRAINLIEST

ignore the one i marked

Answers

Answer:

im almost postive the one you marked is correct

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

When you elevate by 3 you get:

[tex]\sqrt[3]{g}^{3} = g[/tex]

Hope this helps, have a good day

Find the slope of a line parallel to y = 1/2x + 3.

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

hope this helps

Answer:

Slope = 1/2

Step-by-step explanation:

Parallel lines have same slope.

Slope = (1/2)

please answer my question

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Answer:

dogs and birds..........

The coordinates of which point are (-3, 6)?
Ty
A
6
5
4
13
1
123457
Х
2
3
B
5
6
O point A
O point B
O point
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Answer:

point d based on my stuck knowledge

Answer:

i cant tell what your asking but i guess point a...

Step-by-step explanation:

What is the inverse operation of 2/3x=6

Answers

2 3 x - 6

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x2+9 f - 1 ( x ) = 3 x 2 + 9 is the inverse of f(x)=23x−6 f ( x ) = 2 3 x - 6

pls brain

how do you find the interior angle in a heptagon

Answers

Answer:

A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides

find the value of y
a= 23
b= 46
c= 170
d= 85

Answers

Answer:

write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5

Find the value of x.

A. 20
B. 17
C. 22
D. 15

Answers

Answer:

The value if x is 20

Step-by-step explanation:

Hope this helps :)

The value of the variable x is 20. Then the correct option is A.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.

We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have

(x - 5) · (x - 8) = (x - 11) · x

Simplify the equation, then the value of the  variable x will be

(x - 5) · (x - 8) = (x - 11) · x

x² - 13x + 40 = x² - 11x

2x = 40

x = 20

Thus, the value of the variable x is 20.

Then the correct option is A.

More about the circle link is given below.

brainly.com/question/11833983

#SPJ5

what is the monomial if a square of a monomial is 1/4a^2n

Answers

Answer:

Answer:

Answer:

1/2a^n

Step-by-step explanation:

Square of the monomial is  

To get the monomial we take square root

Lets take square root for each term

because square root of 4 is 2

2/2 is 1 so, its a^n

Required monomial is  

1/2a^n

Step-by-step explanation:

Answer:

(1/2a^n)^2

Step-by-step explanation:

Solve for x: 3 - (2x - 5) <-4(x + 2)

Answers

Answer:

x < -8

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Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

Distribute:                         3 - 2x + 5 < -4x - 8Combine like terms:         -2x + 8 < -4x - 8Add 4x on both sides:     2x + 8 < -8Isolate x term:                  2x < -16Isolate x:                           x < -8

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can i get some help

Answers

Answer:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

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-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

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Solving

-4 + -31x = 0

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Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

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0 + -31x = 0 + 4

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Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

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Simplifying

Pls help I don’t under stand and I’ve been on this question for 2 hours

Answers

Answer:

Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]

Step-by-step explanation:

Answer:

x = 20

p = 144

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Step-by-step explanation:

Vertically opposite angles are equal.

2x - 4 = 96 - 3x

2x + 3x -4 = 96

    5x - 4 = 96

         5x = 96+4

         5x = 100

           x = 100/5

           x = 20

2x - 4 = 2*20 - 4 = 80 - 4

         = 36

p + (2x - 4) = 180  {linear pair}

p + 36 = 180

        p = 180 - 36

        p = 144

y =  p        {vertically opposite angles}

y = 144

please help if u dont know how to answer then please dont answer

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Answer:

table is x    y

            1     30 that is all you need to solve the whole thing I have to go to the movies

Step-by-step explanation:

Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.

(Note: use whole numbers only, do not type the degree
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Answers

Answer:

x = 13

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Step-by-step explanation:

✔️Recall that sum of the interior angles of a ∆ = 180°

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Answers

Answer:

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Step-by-step explanation:

Answer:

C (the rate of change of f(x) is -1/2 and g(x) if 1/2

Step-by-step explanation:

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All students in the 6th grade either purchased their
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Answers

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Step-by-step explanation:

Write the equation of the line that passes through the points (7,4) and (-1, 3), first in point-slope form, and then in
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Step-by-step explanation:

plz, answer the question in the photo.

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Answer:

H

Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

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3

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Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

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3

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32 × 1

9 × 1

− ( 7 × 3 ) over ( 3 × 3 )

7 × 3

3 × 3

= 32 over 9

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9

− 21 over 9

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9

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Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

32

9

− 21 over 9

21

9

= ( 32 − 21 ) over 9

32 − 21

9

= 11 over 9

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9

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

11

9

= 1 and 2 over 91

2

9

The Sanchez family goes to dinner, and the price of the meal was $60. The sales
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Answer:

89.7

Step-by-step explanation:

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the answer is none of these

Step-by-step explanation:

i will give many points and brainlest if you find the area of the polygon

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Step-by-step explanation:

You can split the figure up

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How many gallons of water will a rectangular tank hold if the base is a square that is 8 feet 10 inches on one side and the tank is 10 feet 3 inches high? Round to the nearest tenth.

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Answer:

reeeeee

Step-by-step explanation:

eeeeeeeeeeee

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Answer:

B

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

✨Hope it helps✨

Which polynomial function could be represented by the graph below?

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Answer:

B! just took it!

Step-by-step explanation:

Answer:

B. f(x) = 2x2 + 2x – 4

Step-by-step explanation:

it's lit!!!

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[tex]p=3[/tex]

Step-by-step explanation:

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Hope this helps plz hit the crown :D

Answer:

Are you solving for p , because if you are p = 3

Step-by-step explanation:

18 = 5p + 3

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Step-by-step explanation:

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