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
natita [175]
4 years ago
9

The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width

.
Mathematics
1 answer:
valentinak56 [21]4 years ago
5 0

Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find

Let \; x \; be \; length \; of \; the \; rectangle

Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\\ given \; about \; the \; rectangle

Statement \; 1: Width \; of \; a \; rectangle \; \\is \; 61cm \; more \; than \; the \; length\\\\Width \; = \; 61+x\\\\Statement \; 2: \; The \; perimeter \; is \; 406cm\\\\Perimeter=2(Length+Width)\\Perimeter =2(x+61+x)\\\\So \; the \; mathematical \; equation \; would \; be \\ 2(x+61+x)=406

Step \; 3: \; Solve \; the \; equation \; by  \\ undoing \; whatever \; is \; done \; x.\\\\2(x+61+x)=406\\Group \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\\\\2(2x+61)=406\\Distribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\\\\4x+122=406\\Subtract \; 122 \; on \; both \; sides\\\\4x+122-122=406-122\\Simplify \; on \; both \; sides\\\\4x=284\\Divide \; on \; both \; sides\\\\\frac{4x}{4}=\frac{284}{4}\\Simplify \; fractions \; on \; both \; sides\\\\x=71

Conclusion:\\Length=x=71cm\\Substituting \; 71 \; for \; x \; and \; find \; Width \; value.\\Width=61+x=71+61=132cm\\\\Length \; is \; 71 cm \; and \; Width \; is 132cm

You might be interested in
Multiply (6 z2 - 4 z + 1)(8 - 3 z ).
insens350 [35]
It would be d Answer if you simplified it
5 0
3 years ago
Read 2 more answers
Help me please I don’t know how to do this
Evgesh-ka [11]

Answer:

Step-by-step explanation:

I guess it’s option D.

Cuz we have to find angle K and 140 minus 60 makes 80 so that’s the answer.

8 0
4 years ago
Hi I hope you can help me!plz I need an answer
soldi70 [24.7K]

Answer:

Its #1

Step-by-step explanation:

F(-3)=-2(-3)^2+3

3 0
3 years ago
The question is in the picture​
Marina CMI [18]
4x = x + 90
-x -x
3x = 90
/3 /3
x = 30

The answer is A) 30
5 0
3 years ago
Read 2 more answers
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. It
nikdorinn [45]

Answer:

0.0445937

Step-by-step explanation:

-Given that the sample statistic has a mean of 406 grams, standard deviation of sq root(225) and the null statistic is 411 grams.

-Assuming normal distribution, the test statistic is calculated as:

z=\frac{Sample \ statistic-Null \ statistic}{\sigma/\sqrt{n}}\\\\=\frac{406-411}{\sqrt{225/26}}\\\\=-1.6997

-we then find the p-value of the test statistic from the z-tables:

P-value=0.0445937

8 0
3 years ago
Other questions:
  • Line a y=1/2x+2
    7·1 answer
  • How do I know when to use Sin, Cos or Tan on Trig Ratios?
    7·1 answer
  • Shelbi wants to run one lap around the track as fast as her friend Annabelle, who can run one lap in 1 minute and 10 seconds. Sh
    8·2 answers
  • Witch of the following items is the most likely to have a mas of3 mg cat,pumpkin,ant,piano
    14·1 answer
  • Select the graph that best represents the solution set for 5x+1≤11
    8·1 answer
  • Pls help pls pls ): precalc
    13·2 answers
  • Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...
    5·2 answers
  • Katie buys 125,000 beads. She uses 108,246 to make bracelets. She goes back to the store and buys 100,000 more beads than she bo
    13·2 answers
  • Please help nobody's been answering this is urgent!!!<br><br> find the value of x and y
    11·1 answer
  • What is the ration that equivalent to 6/7
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!