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
tiny-mole [99]
3 years ago
6

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is

96 square feet. What is the width of the sidewalk?
Mathematics
1 answer:
Otrada [13]3 years ago
7 0

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

You might be interested in
Radical exponent definition
kaheart [24]

Answer:

a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical.

Step-by-step explanation:

3 0
1 year ago
Use the following situation for the next few questions:
Olegator [25]

Answer:

5 oil changes.

Step-by-step explanation:

60 = 12x + 15y

60 = 12x + 15(0)

60 = 12x + 0

60

---- = x

12

5 = x

4 0
3 years ago
Emily is trying a new diet
Xelga [282]
What’s the question?
.????????
6 0
3 years ago
Read 2 more answers
Y’all I need help!! I accidentally deleted my downloads, history, bookmarks on chrome on my computer is there any way I can rest
8090 [49]

Answer:

Nope.

Step-by-step explanation:

there is no way you just "deleted" all of those. That will never happen because it takes forever to remove bookmarks and delete downloads. Just sayin

4 0
3 years ago
Read 2 more answers
One of the fastest times ever recorded for the 50ntard dash is 5.2 seconds. ​
netineya [11]

Answer:

Ok cool.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Find the rule for the function<br> x, -1, 0, 1, 2<br> y, 3, 1, 1/3, 1/9
    14·1 answer
  • Help please I don't understand.........
    12·1 answer
  • Question
    11·1 answer
  • If the mean of a normally distributed population is -10 with a standard deviation of 2, what is the likelihood of obtaining a va
    13·1 answer
  • What is the equation of the axis of symmetry for the function shown below?
    14·1 answer
  • Evaluate the expression 3xy - 2x^2 for x=4 and for y = 3<br><br> helpp
    13·2 answers
  • .) What is the Greatest Common Factor of x5,x4, and x3?
    13·2 answers
  • I struggle a lot with pre-algebra pls help
    5·1 answer
  • I need help answering this question!! Why does the equation (x-4)^2 – 28 = 8 have two solutions?
    5·1 answer
  • the figure at the right shows the dimensions of the garden in Marissa's back yard. What is the area of the garden?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!