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
barxatty [35]
3 years ago
5

the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length

Mathematics
2 answers:
mamaluj [8]3 years ago
6 0

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

Sophie [7]3 years ago
4 0

w = l - 12

156 = 2l + 2w

Since we have a value of w, we can plug that into the variable w to find the exact value of l.

156 = 2l + 2(l - 12)

<em><u>Distributive property.</u></em>

156 = 2l + 2l - 24

<em><u>Combine like terms.</u></em>

156 = 4l - 24

<em><u>Add 24 to both sides.</u></em>

180 = 4l

<em><u>Divide both sides by 4.</u></em>

l = 45

Now that we have the exact value of l, we can find the exact value of w.

w = l - 12

w = 45 - 12

w = 33

We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)

We can verify by plugging these values into the second equation.

156 = 2l + 2w

156 = 2(45) + 2(33)

156 = 90 + 66

156 = 156 √ this is correct.





You might be interested in
(4x^y-4)3<br> Simplify please
pashok25 [27]

Answer:

12x^y-12

Step-by-step explanation:

Multiply 3 by 4

12x^y-4⋅3

12x^y-12

4 0
3 years ago
What is -4 the square root of 12 + the square root of 75 in simplist radical form?
Fofino [41]

Answer:

<u>The simplest radical form of this mathematical expression is - 3√3</u>

Step-by-step explanation:

1. Let's write in a mathematical expression the information given:

-4 the square root of 12 + the square root of 75

-4 (√12) + √75

-4 (√4 * 3) + (√25 * 3)  (12 = 4 * 3 and 75 = 25 * 3)

-4 (2 √3) + 5 √3

-8 √3 + 5√3

- 3 √3

The result is- 3 square root of 3.

<u>The simplest radical form of this mathematical expression is - 3√3</u>

7 0
3 years ago
What is the solution set -4.9x +1.3 &gt; 11.1
Irina18 [472]

Answer:

x < - 2

Step-by-step explanation:

given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )

- 4.9x > 9.8 ( divide both sides by - 4.9 )

Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.

x < - 2 ← inequality reversed

solution set : x ∈ ( - ∞, - 2 )


8 0
2 years ago
Evaluate 3x – 4 when x=7. The value of the expression is​
Novay_Z [31]

Answer:

17

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
NEED HELP NOW 100 POINTS WILL MARK BRAINLIEST ANSWER!!!
gayaneshka [121]
11.) Narrative 
12.) B.) 
13.) Limerick 
14.) C.)
15.) Haiku 
16.)D.)
17.) Line 1 & 2
18.) Comical 
19.) D.) 
Hope that helps!! 
Have a wonderful day!!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Four friends are sharing 1/2 of a cake. What portion of the whole cake will each friend get?
    12·2 answers
  • 8. AI, Bob, Carol, and Diane shared a $1000 prize. Bob got twice as much as AI,
    10·1 answer
  • Prime factorization for 50 using components
    6·1 answer
  • How would I solve this?
    11·1 answer
  • WILL MARK BRAINLIEST!! PLEASE HELP MEEEE! ANSWER ALL THE QUESTIONS! PLEASEEEEEEEEEEEE
    15·2 answers
  • What fraction of a gallon is 3 pints?
    6·1 answer
  • Stacia works for 8 hours for 7 days straight. On Saturday she earned overtime and Sunday she earned double time. If she makes 16
    12·1 answer
  • Which of the following expressions is not equivalent to 6x-18y+30
    9·1 answer
  • Please Help! I will give you a lot of points!
    15·1 answer
  • What is the measurement of the angle shown?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!