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
Sonja [21]
3 years ago
15

The length of a rectangular floor is twice its width. The floor is partially covered by a rectangular carpet whose length is the

same as the length of the floor and whose width is 2 feet less than the width of the floor. If the area of the carpet is 160 square feet, what is the length, in feet, of the floor?\
Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

20ft

Step-by-step explanation:

We have two unknowns, the length and the width of the floor. Let us represent this by l and w respectively.

Firstly, we are told that the length of the floor is twice its width. This mathematically means that l = 2w

The width of the rectangular carpet is 2ft less than the width of the floor but the floor length is equal. This means that the width of the floor is (w - 2)ft

Now we are told that the area of the rectangular carpet is 160 sq.ft

This means the length of the carpet multiplied by the width is 160

Mathematically:

l * (w-2) = 160

We know that l = 2w, if we substitute this:

2w(w - 2) = 160

w(w -2) = 80

w^2 -2w = 80

w^2 - 2w - 80 = 0

w^2 -10w + 8w -80 = 0

w(w -10) + 8(w - 10) = 0

(w + 8)(w -10) = 0

w = -8 or 10

Since distance cannot be negative, we ignore the -8 and use the 10 only

Hence the width is 10ft

The length is 2 times the width. The length is thus 2 * 10ft = 20ft

You might be interested in
Can someone help me with this math homework please!
TEA [102]

Answer:i dont know

Step-by-step explanation:

4 0
3 years ago
Find the area of the figure
Marianna [84]

Answer:

I wont give you the answer because i know you can do it just multiply all the numbers its easy

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP ME IM BEGGING YOU <br><br> WILL GIVE BRAINLIEST!!!
Inessa [10]
Kvk yes didjendjdidiejdjd
8 0
2 years ago
What is the answer pls it’s for a grade
Licemer1 [7]
The answer
2
Explanation
The median is the middle number and if you take off one side from the left and one side from the right until you have your middle number
6 0
3 years ago
(PLZ help)
Alina [70]
1. Is 46.7
2. x =57
3. 15.22
4. 14 + j = 28
5. 
8 0
3 years ago
Read 2 more answers
Other questions:
  • Tara baked 6 1/2 dozen cookies. She sold 3 2/6 dozen of the cookie she made. How many dozens of cookies does Tara have remaining
    13·2 answers
  • What's the answer was for <br> 1/2r+2(3/4r-1)=1/4r+6
    13·1 answer
  • What is 3(m + 4) -12=-15
    9·1 answer
  • 2) -4(3n + 6) + 4 = -104<br> A) {3} B) {-1},<br> C) (7) D) {-12}
    13·1 answer
  • in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976​
    8·2 answers
  • Expand and simplify 4 (x-3)-2 (1-x)
    8·2 answers
  • What are the solutions to the equation x2 + bx+c=0?
    8·1 answer
  • Please answer quickly
    14·2 answers
  • a bicycle is sold at Rs 9040 after allowing 20% discount and imposing 13% vat find the Marked price of the bicycle​
    9·1 answer
  • A car dealership is buying a car for $10,500. They plan to sell it at $15,540. Calculate the percent increase.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!