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]
4 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]4 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
A video club wants to reward its best members with a discount based on the member’s number of movie rentals and the number of ne
ivanzaharov [21]

Answer:

public class MovieRental

{

public static void main(String[] args)

{

 Scanner in = new Scanner(System.in);

 

 System.out.print("Enter the number of movie rentals: ");

 int movieRentals = in.nextInt();

 

 System.out.print("Enter the number of members referred to the video club: ");

 int memberReferral = in.nextInt();

 

 in.close();

 

 double discountVal = Math.min(movieRentals + memberReferral, 75);

 

 System.out.println("The discount is equal to: " + discountVal);

}

}

8 0
3 years ago
Round 48.078 to the nearest tenth
nasty-shy [4]

Answer:

50

Step-by-step explanation:

48 rounds to 50

ANSWER: 50

6 0
3 years ago
Read 2 more answers
Mobile users in India have gone up by 20% percent in a year. There are 540 million mobile users today.
DanielleElmas [232]
432 million, 540 times .20 equals 108, subtract 108 from 540 and you get your answer
7 0
3 years ago
For which equation does it make the most sense to solve by using the square root property?
VARVARA [1.3K]
The answer 4x^2-5=20 i just took the test
4 0
3 years ago
Read 2 more answers
Find m<br> A 36<br> B 132<br> C 24<br> D 12
iogann1982 [59]

Answer:

12

Step-by-step explanation:

sum of all angles of triangle =180

3x-12+2x+11x=180

16x-12=180

16x=192

x=12

4 0
3 years ago
Other questions:
  • Carla is saving money for a trip this summer. She already has some money in her savings account and will add the same amount to
    8·1 answer
  • Find the square root number of 36
    11·2 answers
  • nicole has a rectangular canvas that is 12 inches long and 10 inches wide. she paints a blue square in the center of the canvas.
    6·2 answers
  • What could be the location of point w
    14·1 answer
  • Algebraic expressions
    11·1 answer
  • WILL MARK BRAINLIEST!!!
    5·1 answer
  • When Daniel left his house in the morning, his cell phone battery was partially
    12·1 answer
  • A relationship between x and y is defined by the equation y=3x +1/2 which statements are true of this relationship? Select all t
    7·1 answer
  • A worker earns $9 per hour and works 25 hours each week. If the worker receives a 3% pay increase, how much additional pay will
    9·1 answer
  • Find the equation of the line that passes through point a and b
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!