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
OleMash [197]
3 years ago
11

The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the

rectangle.
Mathematics
1 answer:
muminat3 years ago
3 0
Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w

0 = 2w^2 - 3w - 14

which factors into
(2w - 7) (w + 2)

Solving for w
2w - 7 = 0
2w = 7
w = 3.5

w+2 = 0
w = -2

So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

You might be interested in
How many terms are in the expression below?<br> 17 – (5n = 4) + 8%
tankabanditka [31]

Answer: 4

Step-by-step explanation:

(Can someone please answer my math question)

7 0
3 years ago
Price of a
Deffense [45]

Answer:

20%

Step-by-step explanation:

$187.50 - 20% = $150.00

5 0
3 years ago
PLEASE HELP ME WITH THIS THANKS
Lady bird [3.3K]

What is M when R = 200? *

Step-by-step explanation:

6 0
3 years ago
Solve for x.
butalik [34]

Answer:

There are no Solutions.

Step-by-step explanation:

I don't know, but the answer is correct!

6 0
3 years ago
find the solution to the system. write your solution as an ordered pair (x,y) with no spaces, no solution or infinitely many 2x-
Kitty [74]

Answer:

(-8,4)

Step-by-step explanation:

Given: 2x-3y=-28 and x+6y=16

solve for a variable and then substitute back into other equation

x + 6y = 16

x = 16 - 6y; now use this in the other equation

2x - 3y = -28; substitute into x

2(16 - 6y) - 3y = -28; distribute 2

32 - 12y - 3y = -28; combine y's

32 - 15y = -28; isolate 15y

32 + 28 = 15y; add the numbers

60 = 15y; divide by 15

y = 4

Now use this to plug into other equation

x + 6y = 16; y=4

x + 6(4) = 16;

x + 24 = 16; subtract 24 from both sides

x = -8

4 0
3 years ago
Other questions:
  • How do you simplify this?
    5·1 answer
  • I suck at math haha so disregard my answers they’re most likely wrong if you could just answer all the questions shown that woul
    8·2 answers
  • A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 14 inches, and the bicycle wheel makes 3 full
    14·2 answers
  • Which of the following is defined by a line divides two sides of a triangle
    6·1 answer
  • Show work plz for I can understand
    12·1 answer
  • Six times the quotient of twenty-one and three is forty-two.
    7·1 answer
  • What is 1 1/4 as a fraction
    9·2 answers
  • Can someone please help me solve this<br> 20 points to the person who can help me solve
    14·1 answer
  • What is 2/11 as a decimal rounded to 3 decimal places?
    14·1 answer
  • Write the radical expression in exponential form. <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Csqrt%5B2%5D%7B
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!