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
ki77a [65]
3 years ago
9

The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2.

Mathematics
2 answers:
andre [41]3 years ago
7 0

Answer:

  • 525 = (w+4)(w)
  • 21 ft by 25 ft

Step-by-step explanation:

Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...

  A = LW

  525 = (w+4)(w)

  w^2 +4w -525 = 0

  (w -21)(w +25) = 0 . . . . factor the above

Solutions are ...

  w = 21, w = -25

We are interested in the positive solution: w = 21.

The floor is 21 feet wide and 25 feet long.

_____

<em>Alternate solution</em>

Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...

  525 = (x-2)(x+2) = x^2 -4

  529 = x^2

  √529 = 23 = x

Then w=23 -2 = 21, and the length is w+4 = 25.

Semmy [17]3 years ago
7 0

Answer:

x = 21

x= -25

Step-by-step explanation:x^2+4-525=0

               x^21x+25x-525=0

           x{_x^2__ - __3.7__) +5^2 (_5^2.x___ -  _3.5^2.7____)

                  x                x                     5^2                   5^2

          x(x^2-1-(3.7))+5^2(x-(3.7))=0

             x(x-27)+5^2(x-21)=0

          (x-21)((x(_x-21_)  + _5^2(x-21)_)=0

                       x-21               x-21

(x-21)(x+5^2)=0

(x-21)(x+25)=0

x- 21 =0

x+25= 0

x-21+21=21

(x+25)-25=-25

x=21

x+25-25=-25

x= 21

x= -25

You might be interested in
I Need HELP!<br><br>how do you figure out 22/7=5/X
Oksana_A [137]
\frac{22 }{7}= \frac{5}{x} \\ \\ x\neq 0 \\ \\ 22x=7*5\\ \\22x=35 \ \ /:22 \\ \\x=\frac{35}{22}\\ \\x=1\frac{23}{25}
5 0
3 years ago
Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now?
nata0808 [166]

Answer:

267 - 112 - 65 - 33 = $57

Step-by-step explanation:

subtract to get the answer

5 0
3 years ago
What is the multiplicative rate of change of the function???
laiz [17]
Answer:
i think its 2/3
8 0
3 years ago
State the extremes of the proportion below. 4/7=12/x
yKpoI14uk [10]

\frac{4}{7}  =  \frac{12}{x}  \\  \\ 1. \:  \frac{4}{7}x  = 12 \\  \\ 2. \:  \frac{4x}{7}  = 12 \\  \\ 3. \: 4x = 12 \times 7 \\  \\ 4. \: 4x = 84 \\  \\ 5. \: x =  \frac{84}{4}  \\  \\ 6. \: x = 21

7 0
3 years ago
Read 2 more answers
Find the value of x. (4x-101) (2x+3)<br> A. 31<br> B.107<br> C.52<br> D.46
puteri [66]

(4x−101)(2x+3)

Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.

8x²+12x−202x−303

Combine 12x and −202x.

8x²−190x−303

4 0
2 years ago
Read 2 more answers
Other questions:
  • In 7-10, write two decimals that are equivalent to the given decimal.
    9·1 answer
  • Use the fuction h(x)=5x-2 and t(x) =4x+6 to complete the fuction operations listed below
    5·1 answer
  • Which ordered pairs are solutions to the inequality y−4x≤−6y−4x≤−6 ? select each correct answer. (3, 5)(3, 5) (−2, −14)(−2, −14)
    5·1 answer
  • Solve -np - 80 &lt; 60 for n
    9·2 answers
  • Can someone help me with this problem? Please.
    6·1 answer
  • 84 divide 3.2 help me
    5·2 answers
  • Please answer! The attachment is here.
    6·1 answer
  • Marc has 45 CDs in his collection, and Corinna has 61. If Marc buys 4 new CDs each month and Corinna buys 2 new CDs each month,
    11·1 answer
  • Write the number in scientific notation. 0.00000625
    10·2 answers
  • The pie chart is best because pie charts are a good way to portray percentage based data. B. The Pareto chart is best because it
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!