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
djverab [1.8K]
3 years ago
6

The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl

e
Mathematics
2 answers:
Travka [436]3 years ago
3 0
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

slava [35]3 years ago
3 0
Length= 5+2x
Width = x

Perimeter = 2(l+w)=58
= 2(5+2x+x)=58
= 2(5+3x)=58
= 10+6x =58
= 6x= 48
X= 8
Width=8
Length= 21
You might be interested in
A basketball player made 52 out of 100 attempted free throws. What percent of free throws was made?
arlik [135]

Answer:

52%

Step-by-step explanation:

52 out of 100 is the same as .52, when you put that as a percentage, you get 52%

7 0
3 years ago
Read 2 more answers
Use the given values to complete to each table.<br> PLEASE HELP.
3241004551 [841]
I don’t know honestly
3 0
3 years ago
Read 2 more answers
Find the product of 0.3×0.23.
Alexxx [7]

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

6 0
4 years ago
Alexis is knitting a blanket 2 meters long. Every 2 decimeters, she changes the color of the yarn to make stripes. How many stri
IgorC [24]

Answer:

There are 10 stripes in the blanket.

Step-by-step explanation:

We are given the following in the question:

Length of blanket = 2 meters

1 meter = 10 decimeter

Length of blanket in decimeter =

2\times 10 = 20\text{ decimeters}

Change of color = Every 2 decimeters.

Number of stripe =

=\dfrac{\text{Length of blanket}}{\text{Length of change of color of stripe}}\\\\=\dfrac{20}{2} = 10

Thus, there are 10 stripes in the blanket.

3 0
3 years ago
Need help with this question
AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

((x_1, y_1) and (x_2, y_2) are points on the line)


In context of this problem, we can use the formula to find the slope of the line between the two points:

m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1


Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is (y - y_1) = m(x - x_1) where (x_1, y_1) is a point on the line)


In the context of the problem, we could use the formula to find the equation of the line:

(y - 6) = -1(x + 1)

(y - 6) = -x - 1

\boxed{y = -x + 5}


The equation of the line is y = -x + 5.

4 0
3 years ago
Other questions:
  • What is the value of x to the nearest tenth ? <br><br> A.) 4.7<br> B.) 21.4<br> C.) 0.5
    11·2 answers
  • Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same number of novels an
    9·1 answer
  • Write an equation using "x" as the variable: Bill
    9·1 answer
  • How can parallel lines be used to compare figures E and F? Explain your reasoning.
    7·1 answer
  • A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
    15·1 answer
  • You're standing 80 feet from the base of a building . You estimate that angle of elevation from your feet to the top is about 70
    7·1 answer
  • Which of these number sentences is NOT true?
    14·1 answer
  • What is the tan A?<br><br> No random answers pls
    7·2 answers
  • Please help! Billy just received $10 for his birthday and immediately spent $2.50 on a pack of baseball cards. He then wants to
    11·1 answer
  • A rounded scoop of ice cream<br> is put onto a cone so that half<br> of it is in the cone.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!