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
grin007 [14]
3 years ago
13

The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

h? Also find the approximate dimensions of the rectangle.
Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:

Exact dimensions:

width=-1+\sqrt{7}

length=-1+\sqrt{7}+2

length=1+\sqrt{7}

Approximate dimensions:

width=1.64575ft

length=1.64575+2

length=3.64575ft

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

L=w+2

now, we can find area

A=L\times W

now, we can plug it

A=(w+2)\times w

A=w^2+2w

we are given area =6

so, we can set it equal

and then we can solve for w

w^2+2w=6

w^2+2w-6=0

we can use quadratic formula

ax^2+bx+c=0

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}

w=-1+\sqrt{7},\:w=-1-\sqrt{7}

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

width=-1+\sqrt{7}

length=-1+\sqrt{7}+2

length=1+\sqrt{7}

Approximate dimensions:

width=1.64575ft

length=1.64575+2

length=3.64575ft

You might be interested in
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
HELP QUICKLY PLEASE
FromTheMoon [43]

Answer:

should be A

Step-by-step explanation:

Translated left by 7

8 0
3 years ago
Read 2 more answers
Write <br> 49%<br> as a fraction.
Alinara [238K]
49/100 I don't know how specific you needed it to be.
4 0
3 years ago
Read 2 more answers
A polygon with points (-3, 3), (-3, 0), (3,0) and (6,3) reflects across the y-axis. Which is a point on the transformed polygon?
Aloiza [94]

Answer:

0,-3

Step-by-step explanation:

because its across it so it probbly dose not cam o it dose poloyn it

3 0
3 years ago
Read 2 more answers
A bacteria culture doubles every hour. If there are 15000 bacteria now, how many bacteria were there 6 hours ago? Use an exponen
Kamila [148]
23.4375 or 24.0 is the bacteria count after 6 hours.
7 0
3 years ago
Other questions:
  • What is the quotient of 55.328 ÷ 3.8?
    6·1 answer
  • An inequality is shown below.
    12·1 answer
  • Given f (x) = 3/2x + 5 what is f (12)<br><br>help me please!​
    15·1 answer
  • How do you write 1.21 as fraction, when .21 is continuing?
    15·1 answer
  • What is the solutiom of the equation <br>- 25=x-12​
    5·1 answer
  • Step by step on how to get j/-2+7=-12
    5·1 answer
  • What is the greatest perfect square that is less than 55?.
    8·1 answer
  • What is the value of f(3) in the function below?
    14·2 answers
  • An equation is shown.
    5·2 answers
  • Solve the expression for a=12, b=6 and c=3 <br> Look at the picture will give Brainlist !
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!