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
Andre45 [30]
3 years ago
9

Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 24

0 square feet. Based on this information, what are the dimensions of the fence?
Mathematics
2 answers:
pychu [463]3 years ago
6 0

Perimeter (P) = 2L + 2w


68 = 2L + 2w


68 - 2L = 2w


2(34 - L) = 2(w)


34 - L = w


********************                                


Area (A) = L * w


     240 = L (34 - L)


     240 = 34L - L²


L² - 34L + 240 = 0


(L - 10)(L - 24) = 0


L = 10  or  L = 24


w = 34 - L   = 34 - 10   = 24      or      w = 34 - 24   = 10


Answer: width = 10, length = 24   assuming length is bigger than the width


egoroff_w [7]3 years ago
3 0

Perimeter (P) = 2L + 2w

68 = 2L + 2w

68 - 2L = 2w

2(34 - L) = 2(w)

34 - L = w

********************                                

Area (A) = L * w

     240 = L (34 - L)

     240 = 34L - L²

L² - 34L + 240 = 0

(L - 10)(L - 24) = 0

L = 10  or  L = 24

w = 34 - L   = 34 - 10   = 24      or      w = 34 - 24   = 10

Answer: width = 10, length = 24  <em>assuming length is bigger than the width</em>

You might be interested in
Simplify. 10 + 51 -10 + 51 41
tatuchka [14]

Answer:

52.12

Step-by-step explanation

PEMDAS

Adding comes before subtracting

10+51=61

10+51 41=51.51

61-51.51=-52.12

3 0
2 years ago
If jeannie eats 1,840 calories a day ,how many calories will she have eaten after 182 days?
steposvetlana [31]
To do this multiply 1840 by 182.  This gives you 334,880.
3 0
3 years ago
Read 2 more answers
A pair of shoes weighs 650 grams.How many decigrams does it weigh?
Scorpion4ik [409]
We know that 1 gram = 10 decigrams

That means that 650 * 10= 6500

Hope this helps!
6 0
2 years ago
Read 2 more answers
If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
2 years ago
If the mortgage interest rates increase, this would be an example of changing your external environment.
alina1380 [7]

Answer:

<em>Economic conditions </em>

Step-by-step explanation:

If the mortgage interest rates increase, this would be an example of changing <em>Economic conditions in a company's</em> your external environment

Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.

once the debtor repays the mortgage he retains the full ownership of his property.

4 0
2 years ago
Other questions:
  • Alex bar and Carl are brothers Alex is the oldest and Carl is the youngest the some of the ages of the three brothers is 42 Alex
    5·1 answer
  • A total of
    7·2 answers
  • 21 22 23 24 25 TIME REMAINING 01:37:44 Billy graphed the system of linear equations to find an approximate solution. y = x + y =
    15·1 answer
  • Write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form.
    7·2 answers
  • Calculate the premiums for the following insurance policies. (Help!!!! Active Quiz)
    12·2 answers
  • 1.03 – 0.06 <br> subtracting Desimals of Different Lengths 1c
    10·1 answer
  • Add parentheses to the expression so that its value is 6:<br><br> 3 + 9 ÷ 9 - 6
    13·1 answer
  • Elliot spent 3/7 of his money on some comics. He spent 1/4
    6·1 answer
  • #3) Eddie's salary is $1,100 per month. Find his annual salary.
    5·2 answers
  • Help! I’ll give extra points:)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!