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
lesya692 [45]
2 years ago
6

Cisco and Misty need to construct a chicken coop for their famous egg-laying hens. The hens need at least 108 square feet of liv

ing space. The space available allows Cisco and Misty to make the length of the coop 3 feet longer than the width and to create exactly 108 square feet of area. What are the dimensions of the coop?
Mathematics
1 answer:
erica [24]2 years ago
7 0

The dimensions of the coop are length = 12 ft and width = 9 ft

<h3>Area of the coop</h3>

Since the coop is a rectangle, the area of the coop is A = LW where

  • L = length of coop and
  • W = width of coop.

Now, the length of the coop 3 feet longer than the width, so, L = W + 3

Now, the area of the coop A = 108 ft²

So, A = LW

A = (W + 3)W

108 = W² + 3W

Re-arranging,

W² + 3W - 108 = 0

So, we solve the equation to find the width of the coop

<h3>Width of coop</h3>

W² + 3W - 108 = 0

Factorizing, we have

W² + 12W - 9W - 108 = 0

W(W + 12) - 9(W + 12) = 0

(W + 12)(W - 9) = 0

W + 12 = 0 or W - 9 = 0

W = -12 or W = 9

Since W cannot be negative, W = 9

<h3>Length of coop</h3>

Since L = W + 3

Substituting the value of W into L, we have

L = W + 3

L = 9 + 3

L = 12 ft

So, dimensions of the coop are length = 12 ft and width = 9 ft

Learn more about dimensions of coop here:

brainly.com/question/15558785

You might be interested in
♡please help dudes ♡​
dimulka [17.4K]

Answer:

114°

Step-by-step explanation:

<A=<B (corresponding angles)

6x+12=3x+63

6x-3x=63-12

3x=51

Dividing both sides by 3

x=17

Now

<A=6x+12

=6(17)+12

=102+12

=114°

5 0
3 years ago
Read 2 more answers
Jared is constructing a rectangular door for a shed. If the door, shown below, has a width of 42 in. and a diagonal support of 9
Goshia [24]

Answer:

B

Step-by-step explanation:

A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,

\text{leg}_1^2+\text{leg}_1^2=\text{hypotenuse}^2.

Thus,

42^2+x^2=94^2,\\ \\x^2=94^2-42^2=7072,\\ \\x=\sqrt{7072}=4\sqrt{442}\approx 84\ in

7 0
3 years ago
TIME REMAINING
sesenic [268]

Answer: It's not balanced because it's less likely to include teens, young adults, and senior citizens in the patron population.

Step-by-step explanation: If wants to get a good sample for the whole "population," she should've taken broader samples of people of all ages.  

4 0
3 years ago
Can someone please help me, and don’t just take the points, don’t be a p***y
Bezzdna [24]

Answer:

3c^2a is the GCF

4 0
3 years ago
Read 2 more answers
A squirrel in a long glide typically covers a horizontal distance of 16 m while losing 8.0 m in altitude. during this glide, wha
iragen [17]
Let the starting position be A, and the ending position of the glide be B.

The triangle ABC shown in the figure, is a right triangle with side lengths 16m and 0.8 m.

The angle of the squirrel's path below the horizon is BAC.

Using right triangle trigonometry:

tan(ABC)=(opposite side)/(adjacent side)=0.8/16=0.05

to find m(ABC) we calculate arctan(0.05) which is 2.86°


Answer: 2.86°

4 0
3 years ago
Read 2 more answers
Other questions:
  • A store is having a sale in which all items are reduced by 20% including tax. Jennifer paid $21 for a pair of shorts if the sale
    15·2 answers
  • Find the square roots of the two factors of square root of 36 and multiply them.
    12·1 answer
  • 3. A pair of shoes that normally costs $75 is on
    12·2 answers
  • How to turn 3/9 in a decimal
    11·1 answer
  • What is the answer and plz explain
    11·1 answer
  • Find the x-intercept and y-intercept of each line. Use the intercepts to graph the equation. Equation: 3x + 5y = 15
    15·1 answer
  • How to convert square meters into mm
    7·1 answer
  • Functions W and Z are both linear functions of x.
    14·1 answer
  • PLEASE ANSWER PLEASE PLEASE I NEED JT SO BAD RIGHT NOW
    13·2 answers
  • Help with this one to
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!