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
nika2105 [10]
3 years ago
5

The length a rectangle is 4 feet less than three times the width, and the area of a rectangle is 55 ft.? find the dimensions of

the rectangle
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

width = 5 feet

length = 11 feet

Step-by-step explanation:

Using one variable and setting up two expressions equal to the total area of the rectangle will determine the dimensions of the rectangle.

w = width

l = '4 feet less than three times the width' or 3w - 4

Area = length x width

A = w(3w - 4) = 55

Distribute: 3w² - 4w  = 55

Set equation equal to '0': 3w² - 4w - 55 = 0

Multiply 3 x -55 = -165 and find two factors with a product of -165 and sum of -4:  -15 and 11.

3w² - 15w + 11w - 55

Group and find the GCF (greatest common factor):

3w(w - 5) + 11(w - 5)

(3w + 11)(w - 5) = 0

3w + 11 = 0    and w - 5 = 0

w = -11/3 not possible to have negative measurement

w = 5 feet

Solve for length:  3(5) - 4 = 11 feet

You might be interested in
Line PQ in line RS intersect to form four right angles which statement that would it be
Sholpan [36]

Answer:

PQ is perpendicular to RS

that is to mean:

PQ⊥RS

Step-by-step explanation:

3 0
3 years ago
Triangles MNQ and MOP are similar. What is the slope of segment MO?
asambeis [7]

Answer:

D. 3/2

Step-by-step explanation:

The scale factor is 1/2 from OP / NQ = 1/2. Because of that, MQ is equal to half of MP and QP is equal to half of MP. Therefore, QP = MQ = 2. The slope of MO is rise over run which is 6 / 4 or 3 / 2.

5 0
3 years ago
coal mines have shafts that can be as much as 7 feet deep. About how many feet deep into earth's crust are these shafts?
NikAS [45]

Answer:

i have no clue

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please help i can't get this.
kifflom [539]

Answer:

15

Step-by-step explanation:

ya can't repeat numbers in a function

5 0
3 years ago
Read 2 more answers
Answer the following question below.
kotykmax [81]
If I’m right I think the answer is 1,759.32
3 0
3 years ago
Other questions:
  • Jessica is paid $8.50 an hour and also earns a 15% commission on any sales she makes. In one week, if she worked 30 hours and ha
    12·1 answer
  • A line passes through (−1, 7) and (2, 10). which answer is the equation of the line?
    7·1 answer
  • Y is a number such that 6y = 12
    15·1 answer
  • Solve for x.
    10·1 answer
  • FICA deductions consist of
    13·2 answers
  • (Please help, i will mark brainliest!!!)
    13·2 answers
  • Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth
    10·2 answers
  • Whats The Answer Marking Brainliest, Please explain your answer:D.......
    5·1 answer
  • Find the value of "x" in the figure shown.
    8·2 answers
  • M<5=? what’s it equal
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!