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
ElenaW [278]
3 years ago
7

The length of a rectangle is 4ft less than twice its width. The perimeter of the rectangle is 256 ft. Find the length and width

of the rectangle.
Mathematics
2 answers:
Alik [6]3 years ago
8 0
48ft^2

Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0. Solving this equation gives us W values of 6 and -4, but since the width of a rectangle cannot be negative, the width must be 6.

Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.

To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.

<span>Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.</span>
Olin [163]3 years ago
5 0
For problems like this, change the wording into simple algebraic formulas. We know that the area of a rectangle is its width times its length, or A=LW. The problem tells you that the area is 48, so LW=48. Also, if the length = twice the width minus 4, then L=2W-4.

From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W

Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0. Solving this equation gives us W values of 6 and -4, but since the width of a rectangle cannot be negative, the width must be 6.

Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.

To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.

Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.

Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
You might be interested in
Joseph is a college student at The University of Texas. He made good grades in high school and received a scholarship that pays
ki77a [65]

Answer:

  Step-by-step explanation: cap

7 0
3 years ago
Read 2 more answers
Please answer this fast thank uuu :)
Serga [27]

Answer:

x + 37 = 90

Step-by-step explanation:

Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.

5 0
3 years ago
A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta
Archy [21]

Answer:

\dfrac{11}{30}

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{3}{5}=0.6.

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is \dfrac{3}{10}=0.3.

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{1}{5}=0.2.

The probability to choose each urn is the same and is equal to \frac{1}{3}.

Thus, the probability that the marble is red is

\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.

4 0
3 years ago
What is the difference between the mean and the median of the data set?<br> (22, 8, 10, 18, 12, 20)
IgorC [24]

Let D = difference between mean and median of data.

Mean = (22 + 8 + 10 + 18 + 12 + 20)/6

Mean = 90/6

Mean = 15

Let m = median

m = 8, 10, 12, 18, 20, 22

m = (12 + 18)/2

m = 30/2

m = 15

D = M - m

D = 15n- 15

D = 0

7 0
3 years ago
Leta has $45 in her account in May how much money does she have in her account in august
inessss [21]
I don’t know but ask google
5 0
3 years ago
Read 2 more answers
Other questions:
  • Let f(x) = 8x^3 − 22x^2 − 4 and g(x) = 4x − 3. Find f(x) over g(x).
    6·1 answer
  • Offering 40 points and brainliest for answer
    13·1 answer
  • 1,991.25 kilometers at an average speed of 885 kilometers
    14·1 answer
  • the number of calories in a piece of pizza is 20 less than 3 time the number in a bag of chips the pizza and chips together have
    7·1 answer
  • Answer if you know asap!
    5·2 answers
  • NEED HELP ASAP! WILL MARK BRAINLIEST!!!
    5·1 answer
  • If you add 1 to half of 1, then half of 1 to the previous number, and so on, will you ever get to 2?
    7·2 answers
  • Mrs. Reyes lost 3 kg when she was ill. After recovering, she gained 7 kg. She went to a
    11·1 answer
  • Complete the proof for me please, I need help
    5·1 answer
  • Ok so I know what 2 X 8 is but I have no idea how to put the answer into the system I keep trying but it’s not working
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!