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
kati45 [8]
2 years ago
7

Please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth

Mathematics
1 answer:
kipiarov [429]2 years ago
3 0

Answer:

Width = 6ft Area = 54 sq ft

Step-by-step explanation:

First, re-read the problem until you understand it and can put it into your own words.  I re-wrote it like this:  "Find the area of a rectangle by first finding the length (L) and the width (W)."   [note that I added "find L and W," but that is how I'm going to solve the problem;  I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

 

Translate the problem:

 "The length of a rectangle is 3 ft longer than its width"      means

         L                             =    3             +         W                 (eq1)

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 30                      (eq2)

 

So, now the math is easy, just find L and W so we can compute the area:

     P = 30 = 2L + 2W                         (eq3; from eq2 and the formula for P)

          30 = 2(3+W)  +  2W              (use eq1 to substitute for L)

          30 = 6 + 2W   + 2W              (distribute)

           30 = 6 + 4W                       (collect terms)

            24 = 4W                        (subtract 6 from both sides)

            6 ft = W                         (divide both sides by 4)

 

Use the easiest equation (either eq1 or else eq3) to find L:

          L = 3 + W        (eq1)

          L = 3 + 6

          L = 9 ft

What is the area (A)?

          A = L*W

          A = (9 ft)*(6 ft)

          A = 54 sq ft

You might be interested in
What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33
riadik2000 [5.3K]

Answer:

2 and 23 are the factors of the composite number 46 .

Option (C) is correct.

Step-by-step explanation:

As given in the question  46 is a composite number .

Definition of factors

"Factors" are the numbers you multiply to get another number.

As 46 is written as

46 = 2 × 23

Therefore the factors of the composite numbers 46 are 2 and 23 .


6 0
3 years ago
Read 2 more answers
Let u = <-6, 3>, v = <1, 9>. Find u - v. (5 points)
jeyben [28]

Answer:

u - v = <-7, -6>

Step-by-step explanation:

<-6,3> <1,9>

To get the result you just subtract the components of v from the components of u

<-6 - 1, 3 - 9>

<-7, -6>

8 0
3 years ago
Read 2 more answers
A triangle has two sides of lengths 7 and 12. What value could the length of the third side be? Check all that apply.
Ulleksa [173]
17 11 9 and 7

Remember that the third side must be greater than 5 and less than 19.
6 0
3 years ago
Read 2 more answers
17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.
spin [16.1K]

Answer:

Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.

7 0
2 years ago
Write an equation in standard form of a quadratic function that has x-intercepts -2 and 5 and k=-4
bulgar [2K]

Answer:

-2x + 5 = -4k

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • All of the following are true about a hypothesis except A. It is more specific than a prediction B. It can never be proven C. It
    9·1 answer
  • Use Random number generator and simulate 1000 long columns, for each of the three cases. Example: for the Car type 1, use Number
    8·1 answer
  • Please help find the rate?!
    7·1 answer
  • How is the expression (3 + y) ⋅ 7 described by its factors and terms?
    6·2 answers
  • I need help quick !!!!!!!!!!!!!!!!!!!!!!
    5·2 answers
  • Help lol i need gthe answer to this everytime i do it i get it wrong
    13·1 answer
  • Find the value of x <br> do 5 and 7
    11·1 answer
  • Help!! I need help!<br>​
    9·1 answer
  • At 3 P.M., the temperature is 12°F. It then began dropping 2°F every hour for 7 hours. What was the temperature after 7 hours?
    5·1 answer
  • A. 80<br> B. 50<br> C. 70<br> D. 60
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!