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How to Find Areas, Numbers, and Chocolate Box Weights!

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How to Find Areas, Numbers, and Chocolate Box Weights!
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rachel_zfpf

@rachel_zfpf

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49 Followers

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A comprehensive guide covering mathematical problem-solving including calculate area of square from perimeter of triangle, find the fifth number with given mean and four numbers, and determine weight of empty chocolate box after eating.

  • Detailed exploration of geometric calculations involving squares and triangles with equal perimeters
  • Analysis of mean calculations with missing values in a set of five numbers
  • Problem-solving involving weight calculations and distance-time relationships
  • Step-by-step solutions demonstrating various mathematical operations and conversions

01/06/2023

26

9
Here is a square and an equilateral triangle.
9cm
qu
12:4=3
19cm
X
пст
9cm
120M
The perimeter of the triangle is equal to the perimeter of

View

Page 2: Mean Value Calculation

This page explores finding a missing number in a set when given the mean value and other numbers in the set. The problem demonstrates understanding of averages and numerical relationships.

Vocabulary: Mean is the average of a set of numbers, calculated by dividing the sum by the count of numbers.

Example: With four known numbers (13, 12, 9, 16) and a mean of 12, the fifth number can be found by: (12 × 5) - (13 + 12 + 9 + 16) = 10

Highlight: The solution involves working backwards from the desired mean to find the missing value.

9
Here is a square and an equilateral triangle.
9cm
qu
12:4=3
19cm
X
пст
9cm
120M
The perimeter of the triangle is equal to the perimeter of

View

Page 3: Weight and Distance Calculations

This page covers two distinct problems: calculating the empty weight of a chocolate box and determining distance traveled by a tortoise.

Example: For the chocolate box:

  • Initial weight: 290g with 7 chocolates
  • After eating 3 chocolates: 194g
  • Empty box weight: 32g

Highlight: The tortoise problem involves converting time and distance measurements, showing that in 2 hours (8 × 15-minute intervals), the tortoise walks 13.6km.

Definition: Rate of travel is the distance covered in a given time period, used to calculate total distance over longer durations.

9
Here is a square and an equilateral triangle.
9cm
qu
12:4=3
19cm
X
пст
9cm
120M
The perimeter of the triangle is equal to the perimeter of

View

Page 1: Square and Triangle Area Calculation

This page focuses on calculating the area of a square using information about an equilateral triangle. The problem demonstrates the relationship between perimeter and area in geometric shapes.

Definition: Perimeter is the total distance around a shape, while area is the space inside the shape.

Example: When the perimeter of an equilateral triangle is 36cm (12cm + 12cm + 12cm), and it equals the square's perimeter, each side of the square must be 9cm (36cm ÷ 4).

Highlight: The area of the square is calculated by multiplying the length by width: 9cm × 9cm = 81cm².

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Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

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Knowunity is the #1 education app in five European countries

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Average app rating

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iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

How to Find Areas, Numbers, and Chocolate Box Weights!

user profile picture

rachel_zfpf

@rachel_zfpf

·

49 Followers

Follow

A comprehensive guide covering mathematical problem-solving including calculate area of square from perimeter of triangle, find the fifth number with given mean and four numbers, and determine weight of empty chocolate box after eating.

  • Detailed exploration of geometric calculations involving squares and triangles with equal perimeters
  • Analysis of mean calculations with missing values in a set of five numbers
  • Problem-solving involving weight calculations and distance-time relationships
  • Step-by-step solutions demonstrating various mathematical operations and conversions

01/06/2023

26

 

7

 

Maths

6

9
Here is a square and an equilateral triangle.
9cm
qu
12:4=3
19cm
X
пст
9cm
120M
The perimeter of the triangle is equal to the perimeter of

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: Mean Value Calculation

This page explores finding a missing number in a set when given the mean value and other numbers in the set. The problem demonstrates understanding of averages and numerical relationships.

Vocabulary: Mean is the average of a set of numbers, calculated by dividing the sum by the count of numbers.

Example: With four known numbers (13, 12, 9, 16) and a mean of 12, the fifth number can be found by: (12 × 5) - (13 + 12 + 9 + 16) = 10

Highlight: The solution involves working backwards from the desired mean to find the missing value.

9
Here is a square and an equilateral triangle.
9cm
qu
12:4=3
19cm
X
пст
9cm
120M
The perimeter of the triangle is equal to the perimeter of

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Weight and Distance Calculations

This page covers two distinct problems: calculating the empty weight of a chocolate box and determining distance traveled by a tortoise.

Example: For the chocolate box:

  • Initial weight: 290g with 7 chocolates
  • After eating 3 chocolates: 194g
  • Empty box weight: 32g

Highlight: The tortoise problem involves converting time and distance measurements, showing that in 2 hours (8 × 15-minute intervals), the tortoise walks 13.6km.

Definition: Rate of travel is the distance covered in a given time period, used to calculate total distance over longer durations.

9
Here is a square and an equilateral triangle.
9cm
qu
12:4=3
19cm
X
пст
9cm
120M
The perimeter of the triangle is equal to the perimeter of

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Square and Triangle Area Calculation

This page focuses on calculating the area of a square using information about an equilateral triangle. The problem demonstrates the relationship between perimeter and area in geometric shapes.

Definition: Perimeter is the total distance around a shape, while area is the space inside the shape.

Example: When the perimeter of an equilateral triangle is 36cm (12cm + 12cm + 12cm), and it equals the square's perimeter, each side of the square must be 9cm (36cm ÷ 4).

Highlight: The area of the square is calculated by multiplying the length by width: 9cm × 9cm = 81cm².

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

13 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.