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
mixas84 [53]
3 years ago
11

The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar

e feet?
Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

You might be interested in
HELP ME!!!! giving 40 points and brainliest!!!!
kykrilka [37]

Answer:

Step-by-step explanation:

17.7+8.3+13.0+2090=24.805g

8 0
2 years ago
Use the graph to complete the statement. O is the origin.<br><br> T&lt;2,1&gt; ο r(90°,O) : (4,-1)
faltersainse [42]

Answer:

(3,5)

Step-by-step explanation:

5 0
2 years ago
C= 2 7r; for r<br> Plzz help
Nutka1998 [239]

Answer:

C/27=r

Step-by-step explanation:

C= 2 7r

C \div 27= 2 7r \div 27

C/27=r

5 0
3 years ago
Read 2 more answers
Check attached image
kobusy [5.1K]

Answer:

people liked online better

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the difference between 9,000 and 8,745.
dybincka [34]

Answer: 255

Step-by-step explanation: All you do is subtract 8,745 from 9000.

8 0
3 years ago
Other questions:
  • A number with the same value as 32
    5·2 answers
  • If f(x)=2x-9 what is f(5)
    6·1 answer
  • Can you show us how to find the discriminant of the quadratic x^2 + 2x -2 =0
    9·2 answers
  • Is the least common factor of a pair of numbers every equal to one of the numbers
    9·1 answer
  • Please help with numbers 5 and 7!
    11·1 answer
  • Mary paid #13.60 on a hamster toy, and a cage cost her $14.90 with 2 $20 bills. She also found a dollar bill on the ground. How
    5·1 answer
  • 2. Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help dete
    7·1 answer
  • Emergency! Find the measure of angle A
    15·1 answer
  • The image shows the distances in kilometers between three cities.
    9·1 answer
  • Solve 1/2 x 3/4 *<br><br> A. 3/8<br> B. 4/6<br> C. 5/4<br> D. 4/8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!