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
tigry1 [53]
2 years ago
10

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Mathematics
1 answer:
Murrr4er [49]2 years ago
6 0

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

You might be interested in
Solve the system <br> {f (x) = 2x-1<br> {g (x) = x^2-4
Murrr4er [49]

Answer:

2 sets of possible solutions:

x=3, y = 5

and

x=-1, y = -3

Step-by-step explanation:

Using the graphical method, (see attached)

you can graph both equations and find their intersection points.

From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)

Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.

y = 2x + 1 ------------------- eq. (1)

y = x² - 4 ------------------- eq. (2)

4 0
3 years ago
Can you please help me with this question please help and i will give you a Brainiest
patriot [66]

Answer:

Cans for food drive

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me, thank you
Pavel [41]

Answer:

the answer is -3. Your welcome

4 0
3 years ago
This keeps on confusing me. Please explain it to me.
9966 [12]

Answer:

x=-10

Step-by-step explanation:

the picture is showing

1+1= -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 + -x

simplified its:

2= -8 + -x

I think that the answer is x=-10 cuz if u did -8 - -10 then the two negatives make a positive and it makes 2 but idk if the minus sign before the x means minus or negative so this might be the answer but dont blame me if im wrong. I warned you. If its right plz write that.

4 0
3 years ago
When can u add and subtract fractions
adelina 88 [10]

Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers. Rewrite the fractions as equivalent fractions with the LCM as the denominator.

8 0
3 years ago
Other questions:
  • Krista is planning to mow her grandparents lawn the rectangular yard is 10 yards by 12 yards but there is a square patio that ha
    7·1 answer
  • List 5 things shorter than a meter and 5 things longer than a meter .
    15·1 answer
  • How many times can 24 go into 48
    14·2 answers
  • Which is f(5) for the function –2x2 + 2x – 3?
    13·2 answers
  • 7. What is the equation of a circle with a
    15·1 answer
  • Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. If Matthew used 28 blueberries, how many red
    15·1 answer
  • I need some help ASSAPPP please
    15·2 answers
  • Solve the system of equations by graphing.
    5·1 answer
  • Pls help I will give brainliest
    9·1 answer
  • What is the simplified version of 4+5y-6y+y
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!