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
IRISSAK [1]
3 years ago
15

The length of a rectangular garden is 8 feet longer than the width. The garden is surrounded by a 4-foot sidewalk. The sidewalk

has an area of 320 square feet. Find the dimensions of the garden.
Mathematics
1 answer:
ladessa [460]3 years ago
5 0
1. The information given in the problem is:

 - <span>The length of a rectangular garden is 8 feet longer than the width.
 - </span><span>The garden is surrounded by a 4-foot sidewalk.
 - The area of the sidewalk is 320 ft</span>².

 2. So, the length of the rectangular garden is:

 L1=8+W1

 3. The formula for calculate the area of the sidewalk, is:

 A2=L2xW2

 "A2" is the area of the sidewalk (A2=320 ft²).

 "L2" is the length of the sidewalk.

 "W2" is the widht of the sidewalk.

 4. The length of the sidewalk (L2) is:

 L2=L1+4+4    (4 feet on each side)
 L2=L1+8

 5. When you substitute L1=8+W1 into the equation L2=L1+8, you obtain:

 L2=8+W1+8
 L2=W1+16

 6. The widht of the sidewalk is:

 W2=W1+4+4
 W2=W1+8

 7. Now, you must substitute the length and the widht of the sidewalk into the formula A2=L2xW2:

 A2=L2xW2
 A2=(W1+16)(W1+8)
 320=W1²+16W1+8W1+128
 W1²+16W1+8W1+128-320=0
 W1²+16W1+8W1-192=0

 8. When you solve the quadratic equation, you obtain the value of W1:

 W1=16.97 ft

 9. Finally, you must substitute the value of W1 into the formula L1=8+W1:

 L1=8+W1
 L1=8+16.97 
 L1=24.97 ft

 10. Therefore, the dimensions of the garden are:

 L1=24.97 ft
 W1=16.97 ft
You might be interested in
Find the perimeter of the larger Octagon.
Harrizon [31]

The scale factor is obviously 7, because the 28 divided by 4 equals 7.

This means that the larger octagon's perimeter will be 7 times the smaller octagon's perimeter.

So 34 * 7 = 238.

5 0
3 years ago
I need too know what 2838x13 is right now or else ill flunk my test
alukav5142 [94]

Answer:

36894

Step-by-step explanation:

hope it helps

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!! i will mark you brainliest
V125BC [204]

Answer:

1.  I am not sure about the first one. I tried everything and nothing I got from any of my work is looking right.

2. AB = 5

3. 8

4 0
3 years ago
12w=-8(-4w=10) please help
blsea [12.9K]

Answer:

w=4

Step-by-step explanation:

so assuming that that is a plus sign instead of an equal sign it would be 4

3 0
3 years ago
Read 2 more answers
Charlie guesses that his dog weighs 34. 5 pounds. The dog actually weighs 32. 7 pounds. What is the percent error in Charlie’s g
expeople1 [14]

Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%

<h3>How to calculate the percent error?</h3>

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\

(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)

For the given case, it is specified that:

Actual weight of dog = 32.7 pounds

Guessed weight of dog, by Charlie : 34.5 pounds.

Error = 32.7 - 34.5 = -1.8 pounds

Thus, percent error in Charlie's guess is calculated as:

\text{Percent Error} = |\dfrac{-1.8}{32.7}| \times 100 \approx 5.5\%

Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%

Learn more about percent error here:

brainly.com/question/25749180

3 0
2 years ago
Other questions:
  • What is 2,789 rouned to the neatest yen
    8·2 answers
  • 3 over 5 to the power of 2 + 4 × 3 − 2
    7·2 answers
  • Simplify the expression
    7·1 answer
  • a contract is good in the base of a circular fountain on the blueprint the base of the food has a date diameter of 18 cm the boo
    5·1 answer
  • Which form of equation models the data if a is a positive integer and b is a negative integer?
    15·1 answer
  • A furniture store is having a sale where everything is 40% off.
    10·1 answer
  • How do you turn 1/2 to a decimal
    5·2 answers
  • 2x - × + 4x simplify​
    12·1 answer
  • Solve this equation -2(2x - 2) = -4(2x + 4
    15·2 answers
  • Find the equation of a line that passes through the points (-2,-3) and (4,1)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!