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
taurus [48]
2 years ago
16

A "golden rectangle” is a rectangle where the ratio of the longer side to the shorter side is the "golden ratio.” These rectangl

es are said to be visually pleasing. An example of a "golden rectangle” has a length equal to x units and a width equal to x – 1 units. Its area is 1 square unit. What is the length of this golden rectangle?
Mathematics
2 answers:
Dahasolnce [82]2 years ago
5 0

Answer:

length of golden rectangle = 1.618

Step-by-step explanation:

It is given that the length (L) of golden rectangle is x

And width (W) of rectangle is x-1

so we have

L = x

W= x-1

Now we have area of rectangle given by

Area = L × W

Area = x(x-1)                             ( we plug L= x and W= x-1)

It is given that area of rectangle is 1 square unit.

So we have

x(x-1)=1\\

x^2 -x=1       ( distribute x and remove parenthesis )

x^2 -x-1=0    ( subtract 1 from both sides )

Now to solve for x we need to use the quadratic formula

For quadratic equation ax^2 +bx+c=0

The quadratic formula is given by x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

Here we have a= 1 , b=-1 c=-1 , so we have

x=\frac{-(-1)\pm\sqrt{(-1)^2 -4(1)(-1) }}{2(1)} \\x=\frac{1\pm\sqrt{1+4} }{2} \\x=\frac{1\pm\sqrt{5} }{2}

x= \frac{1\pm2.236}{2} \\x=\frac{1+2.236}{2}  or  x=\frac{1-2.236}{2}\\

x= 1.618 or x=-0.618

We can not have length negative

hence

length of golden rectangle = 1.618

kari74 [83]2 years ago
4 0
The answer is b. I just did the question and that is the answer
You might be interested in
Plzzzz... tell fast​
blondinia [14]

Answer:

its 4x

Step-by-step explanation:

5 0
3 years ago
WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an av
ozzi

Answer:

32

Step-by-step explanation:

6 0
3 years ago
DJ by 14 photos for 0.756 how much change will he receive if you pay for $15
Pavlova-9 [17]
The amount of change he’ll receive is $4.416
3 0
3 years ago
What inequality is shown in the graph below?
LenaWriter [7]

Answer:

1/2

Step-by-step explanation:

6 0
2 years ago
Give the solution to the system<br> Pls help
nekit [7.7K]

Answer:

(1, 3)

Step-by-step explanation:

The solution to any system is where the two lines meet. It would be no solution if the lines were parallel. An ordered pair is written out in the format (x, y).

4 0
2 years ago
Other questions:
  • In the last election, candidate B received twice as many votes as candidate A. Candidate C received 15,000 fewer votes than cand
    8·1 answer
  • Solve the system of equations Y equals 7X +43, Y equals 2X +13
    13·1 answer
  • Which statement is not always true?
    5·1 answer
  • If point F is translated 2 units to the left and 2 units down, what are the coordinates of F'?
    11·1 answer
  • Rewrite with only sin x and cos x. (3 points) cos 2x + sin x
    13·1 answer
  • A study done a a polling organization Randomly surveyed 1031 adults by phone. The poll found that 42%of the respondents said the
    6·1 answer
  • Find the value of x.
    11·1 answer
  • Helppppppppppppppppppppp
    5·1 answer
  • What is the arithmetic mean between 10 and 250
    12·2 answers
  • Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cu
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!