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
Neporo4naja [7]
2 years ago
6

The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the

width of the door?​
Mathematics
1 answer:
borishaifa [10]2 years ago
7 0

Answer:

The width of the door is 36 inches

Step-by-step explanation:

The given parameters are;

The given area of the door = 3024 in.²

The length of the door = 48 + The width of the door

Let W represent the width of the door

Therefore, we have;

The length of the door = 48 + W

The area of the door = The length of the door × The width of the door

∴ By substitution, the area of the door = 3024 = W × (48 + W)

3024 = W × (48 + W) = 48·W + W²

48·W + W² = 3024

∴ 48·W + W² - 3024 = 0

Rearranging, we get;

W² + 48·W - 3024 = 0

By trial and error, we have;

(W + 84)×(W - 36) = 0

Therefore, given that the width of the door is a natural number, we have;

The width of the door, W = 36 inches

You might be interested in
The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are
vodomira [7]
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
5 0
3 years ago
A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?
KATRIN_1 [288]

Answer:

6

Step-by-step explanation:

formula is y2-y1 / x2-x1

3 0
3 years ago
Read 2 more answers
Help pleaseeeeeeee thanks
lianna [129]

Answer:

so the answer is 5

Step-by-step explanation:

the equation will be for this is

7x + 20 = 55

7x = 55-22

7x = 35

x = 35÷7

x=5

3 0
3 years ago
Read 2 more answers
There are 10 fewer trumpets in the band than drums. There are 20 drums. How many trumpets are there?
laila [671]
10 trumpets in the band. 20 - 10 =10.
7 0
3 years ago
Read 2 more answers
A bag contains 50 marbles, 10 of which are blue, 8 are red, 20 are green, and 12 are purple. Marcie takes a marble out of the ba
Lorico [155]
50 total marbles

chance of getting a red marble is 8/50

8/50 = 80/500

Answer is 80
5 0
3 years ago
Read 2 more answers
Other questions:
  • 5 3/8 - 1 1/4 + 2 1/2 - 7/16=
    13·1 answer
  • Select two lines that have a slope of -2
    5·1 answer
  • 6. Which equation represents: "Seven times the difference of a number and tenis
    11·2 answers
  • Which statement is true about this graph
    13·1 answer
  • A car slows down at -5.00m/s^2 until it comes to a stop after traveling 15.0m how much time did it take to stop
    14·1 answer
  • Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different
    12·1 answer
  • WILL GIVE BRAINLIEST 10 POINTS Select all ordered pairs that satisfy the function y= -1/2x + 4
    11·1 answer
  • Divide £208 in the ratio 3:1<br><br> How do I do this??
    12·1 answer
  • Desperate<br> please Hurry<br> Question Down Below
    10·1 answer
  • Ok here you go theyhatemeforlif3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!