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
Zepler [3.9K]
3 years ago
7

Find the length and width of a rectangle whose perimeter is 20 feet and whose area is 21 square feet

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

Length = 3

Width = 7

Step-by-step explanation:

The perimeter is 20 feet

The area is 21 feet

Let x represent the length

Let y represent the width

20 = 2(x+y)

x+y= 20/2

x+y = 10.........equation 1

x × y= 21......equation 2

From equation 1

x= 10-y

Substitute 10-y for x in equation 2

(10-y)y= 21

10y - y^2 = 21

y^2 -10y + 21= 0

After factorization the result will be

(x-3)(y-7)

x-3= 0

x= 0+3

x= 3

y-7= 0

y= 0+7

y= 7

Hence the length is 3 and the width is 7

You might be interested in
X^2+6x+3/x+2 <br> divide polynomial
melamori03 [73]

Answer:

x

=

±

2

√

3

−

3

Step-by-step explanation:

Add

3

to both sides of the equation.

x

2

+

6

x

=

3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

3

)

2

Add the term to each side of the equation.

x

2

+

6

x

+

(

3

)

2

=

3

+

(

3

)

2

Simplify the equation.

Tap for more steps...

x

2

+

6

x

+

9

=

12

Factor the perfect trinomial square into

(

x

+

3

)

2

.

(

x

+

3

)

2

=

12

8 0
3 years ago
Use Inverse operations to solve the expression. Enter your answer in simplest form. y 1 =8 16​
vredina [299]
So we are trying to get the “y” alone, so to undo the division by -8, we will multiply both sides by -8, then simplify.

(-8) y/(-8) = (-8) 1/16

y = -8/16

and simplified:

y = -1/2
7 0
3 years ago
Find each percentage of 60.<br> 3% of 60
Virty [35]

Answer:

1.8

Step-by-step explanation:

We want  3% of 60 = 0.03 * 60 = 1.8

4 0
3 years ago
Read 2 more answers
Algebra applications: find the value of x and y​
Inga [223]

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

5x-y+150=180       ...........(1)

5x-y=180-150

5x-y=30      ............(2)

5x+y+130=180       ...........(3)

5x+y=180-130

5x+y=50        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

5x-y+5x+y=30+50

10x=80

x=8

Now we are putting the value of x in 4, we get the value of y.

5x+y=50

5(8)+y=50

y=50-40

y=10

Therefore, the value of x and y is 8 and 10 respectively.

3 0
3 years ago
Two planes that do not intersect are parallel
frez [133]

True.  If they never intersect then they must have the same slope and are parallel

6 0
3 years ago
Other questions:
  • A coach gives her players the option of running around their field twice or around their entire stadium once. The following diag
    7·1 answer
  • A package delivery service divides their packages into weight classes. suppose that packages in the 14 to 20 pound class are uni
    14·1 answer
  • Lamar has a bookcase with b shelves. There are 12 books on each shelf. Using b write an expression for total numbers of books
    11·1 answer
  • Solve the equation -2(5x+1)&gt;48
    12·1 answer
  • Write the expression below in standard form 3h-2(1+4h)
    12·1 answer
  • there are 146 students taking buses to the museum.if each bus holds 24 students,how many buses will they need?
    15·1 answer
  • This data set represents the number of cups of coffee sold in a café between 8 a.m. and 10 a.m. every day for 14 days.
    6·2 answers
  • Please show work for both problems
    8·1 answer
  • I need help I don't under stand. Is my answer correct
    9·1 answer
  • Nathan, Alan, Becky and Allison are each holding one of the following 4 cards. Nathan and Alan both have Spades. Becky and Alan
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!