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
sveta [45]
3 years ago
12

The length of a rectangle is 7 ft less than three times the width, and the area of the rectangle is . Find the dimensions of the

rectangle.
Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.

Width = x

Length = 3x - 7

Area of a rectangle = length × width

180 = (3x - 7) * x

180 = 3x² - 7x

3x² - 7x - 180 = 0

Using quadratic formula

a = 3

b = -7

c = -180

x = -b ± √b² - 4ac / 2a

x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)

x = 7 ± √49 - (-2160) / 6

= 7 ± √49 + 2160 / 6

x = 7 ± √2209/6

= 7 ± 47 / 6

= (7 + 47)/6 or ( 7 - 47)/6

= 54/6 or -40/6

x = 9 or -6.67

x cannot be negative

Therefore,

x = 9 ft

Width = x = 9 ft

Length = 3x - 7

=3(9) - 7

= 27 - 7

= 20 ft

You might be interested in
What are the real zeros of y=(x+3)^3+10
aivan3 [116]
<span> y - x3 - 9x2 - 27x - 37 = 0 is this what you were looking for?</span>
4 0
3 years ago
Greg withdrew $37 from his account on Wednesday and then deposited $15 in his account on Thursday. On Friday, he withdrew $120.
barxatty [35]

he had $297 in his account before wednesday

5 0
3 years ago
To construct a line parallel to a given line m to a point not on m, you need to know how to construct_______angles?
Lelu [443]
It would be either C or A, sorry I cant help anymore than that
6 0
3 years ago
Read 2 more answers
Need help on polynomials
kkurt [141]
Follow these steps and you should get your answer its not the same questions but it should help
The answer to the problem is as follows:

These two polynomials are 5x^2 + 3x + 5 and 3x^2 +2x + 2:

Subtracting the second expression from the first:

<span>5x^2 + 3x + 5
- (3x^2 +2x + 2)
</span>____________
<span>2x2 + x + 3  <------------- The difference
</span>


7 0
3 years ago
Math help please i will mark brainliest!!!!!
mel-nik [20]

Answer:

The second choice is the correct one.

Step-by-step explanation:

20x^4 - 45x^2

GCF is 5x^2, so the factors are:

5x^2( 4x^2 - 9)

Now 4x^2 - 9 is the differencr of 2 squares:

4x^2 - 9 = (2x + 3)(2x - 3)>

4 0
3 years ago
Other questions:
  • Select the correct equations in the image.
    7·1 answer
  • Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile dr
    15·1 answer
  • 8x-7x=x-8 answer and show work
    6·2 answers
  • -5r + 2 - 7 + 3k use r= 3 and k=6
    15·2 answers
  • The temperature was 68°F. Later that day the temperature was 82°F. How much does the temperature need to rise or fall to return
    8·2 answers
  • ?
    8·1 answer
  • Help pleaseeeeeeeeeeeeee
    6·1 answer
  • Simplify the expression <br> 6(151/2-3 3/2)=
    12·1 answer
  • i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quad
    11·1 answer
  • Work out<br> 4<br> x 15<br> 7.<br> Give your answer as a mixed number.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!