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
What are the possible values of x in x2 + 3x + 3 = 0?
stealth61 [152]
Hello,

x^2+3x+3=0\\

\Delta=9-4*3=-3\\

x= \dfrac{-3-i*\sqrt{3}}{2} \ or\ x= \dfrac{-3+i*\sqrt{3}}{2} \\


3 0
3 years ago
Read 2 more answers
What is the square route of 5?
denis-greek [22]

Square root are the same 2 numbers multiplied.

Ex: 8*8=64 (Square root is 8)

9*9=81 (Square root is 9)

2.2360679775*2.2360679775=5

Answer=2.2360679775


6 0
3 years ago
A baker puts 48 muffins Into boxes. Each box holds 5 muffins. To find the number of boxes needed, the baker completes the divisi
antoniya [11.8K]
There are 3 muffins that aren’t not in boxes
7 0
3 years ago
A regular hexagon is inscribed in a circle with a radius of 4 yd. Find the area of the shaded region shown.
dlinn [17]
A watch decreased in price by
4
5
. After the reduction it was priced at £10. What was the original price of the watch?
3 0
3 years ago
What is the answer to 8/6+ - 9/5
Sindrei [870]

Answer:

-7/15

Step-by-step explanation:

get red of the addition and subtract the two fractions

3 0
3 years ago
Other questions:
  • Which statement is true about a line and a point? (1 point)
    5·1 answer
  • 5000 rounded to the nearest 10 thousand
    11·1 answer
  • En la clase de Camila hay 28 estudiantes,
    12·1 answer
  • Draw a line segment PQ of length 8cm. Find 1/4 of PQ using compass.
    11·2 answers
  • Which expression is equivalent to (9x2y6)−1/2?
    10·1 answer
  • In the diagram shown, /Il m, m
    11·1 answer
  • Find the value of X.
    15·2 answers
  • How to graph -3x+y=3
    11·1 answer
  • A rectangular prism and its dimensions are shown in the diagram.
    8·1 answer
  • What does the excerpt reveal about Krebs? He fought valiantly while at war overseas. He is happy to be home with his friends and
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!