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
Likurg_2 [28]
3 years ago
9

What is the length and width of a rectangle with a perimeter of 28 feet and an area of 48 sq feet

Mathematics
2 answers:
nydimaria [60]3 years ago
6 0

Answer:

The rectangle is 8 ft by 6 ft.  

Step-by-step explanation:

Let x = length and y = width

Then, 2x+2y = 28 and xy = 48

Since 2x+2y = 28, y = 14 - x

So, x(14 - x) = 48

   x2 - 14x + 48 = 0

  (x-8)(x-6) = 0

  x = 8 or x = 6


Hope this helps!  

inna [77]3 years ago
6 0

Answer:

The dimensions are 6 ft by 8 ft

Step-by-step explanation:

Area = l*w

Perimeter = 2(l+w)

48 = lw

28 = 2(l+w)

Divide by 2

28/2 = 2/2(l+w)

14 = l+w

Subtract w from each side

14-w =l+w-w

14-w =l

Substitute this into the first equation for area

48 = lw

48 = (14-w) *w

48 = 14w - w^2

Subtract 14w from each side

48 -14w = 14w-14w -w^2

-14w +48 = -w^2

Add w^2 to each side

w^2 -14w +48 = -w^2+w^2

w^2 -14w +48  =0

Factor

(w-6) (w-8) = 0

Using the zero product property

w-6=0  w-8=0

w=6   w=8

So the width could be 6  or the width could be 8

If the width is 6

14-w =l

14-6 =l

8 =l

The length is 8

If the width is 8

14-w =l

14-8 =l

8 =l

The length is 6

You might be interested in
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
mojhsa [17]

Answer:

The markup for the shoes is 20 percent.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
One plant from the garden is randomly selected. There is a 30% chance that the plant was purchased this year, and there is a 6%
Juliette [100K]
Answer and workings in the attachment below. Also, do me one big favour. Let me know if it's the answer your teacher or text book ends up giving you. That would give me some satisfaction.

Answer: 80%

7 0
3 years ago
Read 2 more answers
Three fourths divided by one eighths
Ilya [14]
3/4÷1/8 is the same as 3/4×8/1.
3×8=24
4×1=4
That becomes 24/4 which simplifies to 6. Your answer is 6.
4 0
3 years ago
The three triangles in the following diagram are similar. True False
pishuonlain [190]
Three Triangles in the following diagram are similar, And the best answer is True.
6 0
3 years ago
Read 2 more answers
For the equation below, x is the input and y is the output.
stiv31 [10]

Step-by-step explanation:

y= -4x +3

y555522514852

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the new price for the markdown given. Round to the nearest cent if necessary.
    15·1 answer
  • Round to the nearest thousandth 2.8151
    6·2 answers
  • 31.75 rounded to the nearest tenths
    6·1 answer
  • A box contains 9 green balls, 16 red balls, 9 white balls, and 6 pink balls.
    6·2 answers
  • Help like I do not understand math at all
    14·2 answers
  • PLS HELP
    10·1 answer
  • 42. Write the equation in slope-intercept form:<br> x + 7y = 42
    8·1 answer
  • The answer to this question here 0.1x=0.2(x+2) <br> x=-4
    12·2 answers
  • to set up a model linear equation to fit real world applications, what should always be the first step?​
    12·2 answers
  • Write the point where the linear equation 3x + 4y = 12 cuts the x-axis.​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!