1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ivan
3 years ago
12

A community is building a square garden with a walkway around the perimeter with the design shown at the right. Find the side le

ngth of the inner square that would make the area of the inner square equal to 75% of the total area of the garden. Round to the nearest tenth of a foot.
1. What is an expression for the area of the inner square?






2. What is the area of the entire garden?






3. What is 75% of the area of the entire garden?






4. Write an equation for the area of the inner square using the expressions from Steps 1 and 3.






5. Solve the quadratic equation. Round to the nearest tenth of a foot.






6. Which solution to the quadratic equation best describes the side length of the inner square? Explain.
Mathematics
2 answers:
Liula [17]3 years ago
4 0

Answer:

17.3 feet

Step-by-step explanation:

The side length of the outer square(the whole garden) is 20 feet and the area of a square is length squared.

20² = 400

For the first question, the area of the inner square will be

X = Length × Width

The area of the entire garden which is also the area of the outer square is

Length × width

= 20 × 20

= 400 feet

For the third question,we were asked to find 75% of the area of the entire garden which is

75/100 × 400

=300 feet

For the fourth question, we are now asked to write an equation of the area of the inner square using steps 1 and 3

x² = 0.75(20²)

x² = 300

For the fifth question

x² = 0.75(20)²

x² = 300

x = √300

x = (+ or-)17.32 feet

And for the last queston

x = +17.32 feet since the length shouldn't be a negative

castortr0y [4]3 years ago
3 0

Answer:

x = 17 ft ... ( nearest 10th of a foot )

Step-by-step explanation:

Given:-

- The side length of inner square = x ft

- The side length of outer square = 20 ft

Find:-

Find the side length of the inner square that would make the area of the inner square equal to 75% of the total area of the garden.

Solution:-

- Compute the area of the inner square (A_i) using side length (x):

                                 A_i = side length ^2

                                A_i = x^2 ft^2

- The area of the entire garden is the area (A_o) of the outer square with side length equal to 20 ft.

                                 A_o = side length ^2

                                 A_o = 20^2

                                A_o = 400 ft^2

- The 75% of the entire garden is :

                                 (75 / 100)*A_o

                                 (75 / 100)*400

                                 300 ft^2

- The area of the inner square is 75% of the entire garden the mathematical expression for it is:

                                 A_i = 300 ft^2

                                 x^2 = 300 ft^2

- The side length required for the inner square is the solution to the quadratic equation above:

                                 x = √300

                                 x = 17.320508ft.

                                 x = 17 ft ... ( nearest 10th of a foot )

You might be interested in
Find
shepuryov [24]

Answer:

The two odd numbers are 15 and 17

Step-by-step explanation:

Given

<em>Let the odd numbers be represented with x and y</em>

<em>Let x be the greater number</em>

<em></em>x + 5y = 92<em></em>

<em></em>

<em>Required</em>

Find x and y

Since x and y are consecutive odd numbers and x is greater, then

x = y + 2

Substitute y + 2 for x in x + 5y = 92<em></em>

<em></em>y + 2 + 5y = 92<em></em>

<em></em>

Collect Like Terms

<em></em>y + 5y = 92 - 2<em></em>

<em></em>6y = 90<em></em>

Divide both sides by 6

\frac{6y}{6} = \frac{90}{6}

y = \frac{90}{6}

y = 15

Substitute 15 for y in x = y + 2

x = 15 + 2

x = 17

<em>Hence; the two odd numbers are 15 and 17</em>

4 0
2 years ago
Can somone please help me 25.2÷7.8=
Gennadij [26K]

25.2 / 7.8 = ~ 3.23 hope that helps

5 0
2 years ago
Work out the volume of this sphere?
Elina [12.6K]

Answer:

434.9

Step-by-step explanation:

\frac{4}{3} × π (4.7)²

434.893

4 0
2 years ago
Read 2 more answers
A triangle has two sides of lengths 6 and 9
romanna [79]

Answer:

3rd side length can being choice B. 4 ,C. 7,F. 10,  E. 12,

Step-by-step explanation:

brainly.com/question/1451975

6 0
3 years ago
The ones circled please put the answers and what the problem is ok? and thank y'all for the support
Lady_Fox [76]
7) 2-3=-1         9) 6-9=-3
11) -3-4=-7      13) -7-6=-13
15)-3-9=-12     17) 6-(-2)=8
19)3-(-5)=8      21) 5-(-8)=13
23)-2-(-1)=-1   25) -10-(-4)=-6
27)-6-(-5)=-1   29) -8-(-6)=-2
31)5-(-3)=8      33) 7-10=-3
35)-2-5=-7       37) -9-(-4)=-5
5 0
3 years ago
Other questions:
  • The solution to -2(1-4x)=3x+8 is____?
    15·1 answer
  • If u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uov)(x)
    5·2 answers
  • Someone plz help me. I'm really confused.
    11·2 answers
  • I NEED HELP ASAP Find the area of the trapezoid by decomposing it into other shapes.
    13·1 answer
  • .Bryan was given the equation y= -5x+3. He says the rate of change is 3 and the initial value is -5. Is Bryan correct? If not, c
    14·1 answer
  • Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:
    6·2 answers
  • Analyze the number line below and answer the question that follows
    12·1 answer
  • Please help. I dont understand it ​
    14·2 answers
  • What is 1/4 divided by 3? Please answer!!!!
    11·2 answers
  • Solve for u.<br> –8u-16 =-6(u-5)<br> Simplify your answer as much as possible.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!