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
serg [7]
2 years ago
11

[20 pts] Write the function rectangle(perimeter, area), which takes two positive integers, perimeter and area. It returns an int

eger which is the length of the longest side of a rectangle with integer side lengths w and h which has the given perimeter and area. If no such rectangle exists, it returns None. As a reminder the perimeter of a rectangle with sides w and h is 2w + 2h. The area is w * h. Hint: The built-in function round takes a number as its argument and returns the nearest integer. For example, round(4.0) returns 4, round(4.3) returns 4, and round(4.7) returns 5. Similarly, to do integer division and get an integer result, discarding any fractional result, there is another operator, //, which performs floor division Example: rectangle(14, 10) will return 5 because a 2 x 5 rectangle 5 is the longest side of a rectangle with perimeter 14 and area 10 rectangle(25, 25) will return None because a 2.5 x 10 rectangle does not have integer side lengths

Computers and Technology
1 answer:
MrRissso [65]2 years ago
7 0

Hi, you haven't provided the programing language in which you need the code, I'll explain how to do it using Python, and you can follow the same logic to make a program in the programing language that you need.

Answer:

import math

def rectangle(perimeter, area):

   l1_1 = (perimeter+math.sqrt((perimeter**2)-(16*area)))/4

   l1_2 = (perimeter-math.sqrt((perimeter**2)-(16*area)))/4

   l2_1 = area/l1_1

   l2_2 = area/l1_2

   print(l1_1,l2_1)

   print(l1_2,l2_2)

   if l1_1.is_integer() and l2_1.is_integer() and l1_1>0 and l2_1>0:

       return(int(max(l1_1,l2_1)))

   elif l1_2.is_integer() and l2_2.is_integer() and l1_2>0 and l2_2>0:

       return(int(max(l1_2,l2_2)))

   else:

       return(None)

Explanation:

  • We import math to make basic operations
  • We define the rectangle function that receives perimeter and area
  • We calculate one of the sides (l1_1) of the rectangle using the quadratic equation to solve 2h^2 - ph + 2a = 0
  • We calculate the second root of the quadratic equation for the same side (l1_2)
  • We calculate the second side of the rectangle using the first root on w = a/h
  • We calculate the second side of the rectangle using the second root on w= a/h
  • We verify that each component of the first result (l1_1, l2_1) is an integer (using the build-in method .is_integer) and greater than 0, if True we return the maximum value between them (using the max function) as w
  • If the first pair of sides evaluate to False we check the second root of the equation and if they meet the specification we return the max value
  • if all the if statements evaluate to false we return None to indicate that not positive or integer sides were found

You might be interested in
Plzzz help! It’s due soon and I can’t figure it out
nignag [31]

Answer:

The answer is A or the first option.

Explanation:

3 0
2 years ago
Select the steps for adding artwork into a placeholder on a presentation slide
Sloan [31]

Answer:

   Open the presentation that you want to add a slide to.

   In the pane that contains the Outline and Slides tabs, click Slides, and then click where you want to add a slide.

Explanation:

6 0
3 years ago
When you use the mvc pattern for a java web application, you often add ________________________ to the request object before you
aivan3 [116]
Hi,

JVM - Java Virtual Machine

Hope this helps.
r3t40
6 0
3 years ago
Create a class Circle with one instance variable of type double called radius. Then define an appropriate constructor that takes
Mrrafil [7]

public class Circle {

// the private data members

private double radius;

private double area;

private double diameter;

public void setRadius(double r)

{

 radius = r;

}

public double getRadius()

{

 return radius;

}

public double computeDiameter()

{

 return radius * 2;

}

public double computeArea()

{

 return ((radius * radius) * 3.14);

}

}

4 0
3 years ago
SOMEONE PLEASE HELP ME I REPOSTED THIS 3 time and no ONE HAD HELPED ME
RoseWind [281]

Answer:

The answer is B

7 0
3 years ago
Other questions:
  • What attack cracks a password or encryption key by trying all possible valid combinations from a defined set of possibilities (a
    12·1 answer
  • Two boxes overlap if their interiors have at least one point in common. Give an O(n log n)-time algorithm that decides if there
    8·1 answer
  • The breastbone or ________________ extends down the chest.
    5·1 answer
  • You will implement three different types of FFs with two different reset types. You have to show your results on your FPGA. You
    9·1 answer
  • How we can earn from an app​
    12·1 answer
  • Să se determine valoarea sumei: l+2+3+…+n pentru un n număr natural citit de la tastatură. Sa se scrie un algoritm care calculea
    13·1 answer
  • You are going to create an Arduino sketch where you have two push buttons, one piezo, one
    10·1 answer
  • Which of the following correctly orders the units of measure from least to greatest?
    7·2 answers
  • How can I use HTML to express a personal value
    13·1 answer
  • What chage command should you use to set the password for jsmith to expire after 60 days and give a warning 10 days before it ex
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!