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
gavmur [86]
3 years ago
5

The length of a rectangle is 3ft more than twice the width, and the area of the rectangle is 54ft^2. Find the dimensions of the

rectangle.
Mathematics
2 answers:
Yuki888 [10]3 years ago
6 0
Let wedth = x
Length = 2x+3
Area = 54
Area = l X b
54= (2x + 3) X x
54 = 2 x² + 3x
The equation will be:
2 x² + 3x - 54
2 x² + 12x -9x - 54
2x (x+6) -9(x + 6)
(2x-9) (x+6)
We will use (2x-9)
2x-9= 0
2x = 9
x = 9/2
x = 4.5

Width = 4.5
Length = (2x +3)
Length = (2X 4.5 + 3)
Length = 9.0 + 3 = 12
777dan777 [17]3 years ago
4 0

Answer: Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2 and x = -6

x = 4.5 and x = -6

We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Step-by-step explanation:

You might be interested in
Please help! Will give brainliest (10 points)
Zinaida [17]

Answer:

Tn=a+(n-1)d

a=a1

Tn=a1+(n+1)d

I would appreciate if my answer is chosen as a brainliest answer

7 0
2 years ago
Read 2 more answers
The word at the end says equation​
Xelga [282]

Answer:

V=9

Step-by-step explanation:

9 times 3 equals 27 and that's how I got 9

4 0
2 years ago
Jane spent $48 on her mom's Christmas gift. This is 55% of the total money she has saved. How much does Jane have saved?
Artist 52 [7]

Answer: 86

Step-by-step explanation: 96 is 105 we need find 100% so we need to find per percent

4 0
2 years ago
Wht does ^ this mean? ​
Ainat [17]

Answer:

Concept: Analysis

  1. The carrot means an exponent.
  2. {x}^{2}
  3. It means something like x^2
8 0
3 years ago
Find four consecutive numbers whose sum equals 218
snow_tiger [21]

Answer:

53+54+55+56

Step-by-step explanation:

I don't remember equation but I know this is the because I can roughly estimate the numbers by dividing by four and going from there

3 0
3 years ago
Other questions:
  • Help with 5 and 6 please
    11·1 answer
  • Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2). Please
    8·1 answer
  • Plz, help with this! Find the area of the parallelogram.
    15·1 answer
  • joan spent half of her allowance going to the movies. she washed the family car and earned $6. what us he weekly allowance if sh
    13·1 answer
  • Fill in the missing monomials: a 100x2= (_____)2
    5·2 answers
  • O6. Solve the equation x2=10 a. X= +10 b. X= V10 X= +5 d. X= 5​
    12·1 answer
  • A rectangular prism has a volume of 80 cubic feet. The length of the prism is 8 feet and the height of prism is 4 feet. What is
    11·1 answer
  • Simplify and show work pleaseee
    15·2 answers
  • A missile is launched from the ground. Its
    7·1 answer
  • Please help me with #5 !?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!