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
Alexeev081 [22]
3 years ago
12

The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, t

o the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot
Mathematics
1 answer:
9966 [12]3 years ago
4 0

Answer:

x = 4.85 feet

Step-by-step explanation:

Original area of the petting farm = 10 × 14

= 140 square feet

.

New area = double the original area = 140 * 2

= 280 square feet

New area of the petting farm =

Width × length

280 = (10+x) × (14+x)

280 = 140 + 10x + 14x + x²

280 - 140 = x² + 24x

140 = x² + 24x

x² + 24x - 140 = 0

Solve the quadratic equation

x = -b ± √b² - 4ac / 2a

= -24 ± √(24)² - 4*1*-140 / 2*1

= -24 ± √ 576 - (-560) / 2

= -24 ± √ 576 + 560 / 2

= -24 ± √1,136 / 2

= -24 ± 4√71 / 2

= -24/2 ± 4√71/2

= -12 ± 2√71

x = 4.8523 or x = -28.8583

x can not be a negative value

Therefore,

x = 4.85 feet to the nearest hundredth

You might be interested in
What is the following sum in simplest form - see attached.
melomori [17]
You must first simplify the radicals by taking out any perfect squares.

√8  + 3√2  + √32 =
√4 * √2   +  3√2   + √16 * √2 =
2√2  + 3√2  + 4√2 =
9√2
5 0
3 years ago
How to do this problem
ANTONII [103]
First move the decimal by one and add a 0 and then a decimal after the 0.
then divide from there
6 0
3 years ago
Read 2 more answers
If you decided to build a ramp using the 1:16 slope - ratio requirement , what would be the length of the diagonal portion of th
oee [108]
I spent a lil time on it but I’ll let you know in a lil but if I have the answer:)
4 0
3 years ago
Read 2 more answers
Simplify the product 4x(2x^3-7x^2+x)
Andreyy89
8x^4-28x^3+4x^2
That’s the answer
3 0
3 years ago
Mikel walks down 5 flights of stairs . each flight has 8 steps. which describes mikel's descent
Ludmilka [50]

Answer:

40 steps downwards

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Find the greatest common factor for each number pair 4,12 worksheet
    14·1 answer
  • How do you determine whether lines are parallel from their equations WHEN GIVEN SLOPE Y INTERCEPT FORM?
    13·1 answer
  • F (x + 5) - 2(4x - 1) = 0, what is the value of x?
    14·1 answer
  • 3/5 divided by 1/3 please say how you get that answer
    8·1 answer
  • What is the phrase to remember the independent variable?
    12·1 answer
  • The questions are in the picture<br> (I’LL GIVE BRAINLEST) <br> PLEASEEEEEEEEEEE HELPPPPPPP
    9·1 answer
  • 7. Sid has a board that is 8 5/6
    6·2 answers
  • My last question to my assigment ;-; (this was assigned today)
    14·1 answer
  • A teacher asked her students how many pets they own. Here
    6·1 answer
  • 1. Derive the half-angle formulas from the double
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!