Class 4 Exam > Class 4 Questions > Look at the following figure X is 1.5 times o...
Start Learning for Free
Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p?
Most Upvoted Answer
Look at the following figure X is 1.5 times of y and the area of trian...
Understanding the Problem
To find the value of X when it is 1.5 times Y and the area of the triangle is given as 12 square cm, we first need to understand the relationship between the base and height of the triangle.
Triangle Area Formula
The area of a triangle can be calculated using the formula:
- Area = (1/2) * base * height
In this case:
- Base = X
- Height = Y
Given Relationships
- X = 1.5 * Y
- Area = 12 square cm
Setting Up the Equation
Substituting the expression for X into the area formula, we get:
- Area = (1/2) * (1.5 * Y) * Y
This simplifies to:
- Area = (1.5/2) * Y^2 = 0.75 * Y^2
Solving for Y
Now, we set the area equal to 12:
- 0.75 * Y^2 = 12
To isolate Y^2, we divide both sides by 0.75:
- Y^2 = 12 / 0.75
- Y^2 = 16
Taking the square root gives us:
- Y = 4
Finding the Value of X
Now that we have Y, we can find X:
- X = 1.5 * Y = 1.5 * 4 = 6
Final Values
- Value of X = 6
- Value of Y = 4
In conclusion, the value of X is 6 and Y is 4, satisfying the area condition of the triangle.
To find the value of X when it is 1.5 times Y and the area of the triangle is given as 12 square cm, we first need to understand the relationship between the base and height of the triangle.
Triangle Area Formula
The area of a triangle can be calculated using the formula:
- Area = (1/2) * base * height
In this case:
- Base = X
- Height = Y
Given Relationships
- X = 1.5 * Y
- Area = 12 square cm
Setting Up the Equation
Substituting the expression for X into the area formula, we get:
- Area = (1/2) * (1.5 * Y) * Y
This simplifies to:
- Area = (1.5/2) * Y^2 = 0.75 * Y^2
Solving for Y
Now, we set the area equal to 12:
- 0.75 * Y^2 = 12
To isolate Y^2, we divide both sides by 0.75:
- Y^2 = 12 / 0.75
- Y^2 = 16
Taking the square root gives us:
- Y = 4
Finding the Value of X
Now that we have Y, we can find X:
- X = 1.5 * Y = 1.5 * 4 = 6
Final Values
- Value of X = 6
- Value of Y = 4
In conclusion, the value of X is 6 and Y is 4, satisfying the area condition of the triangle.
Attention Class 4 Students!
To make sure you are not studying endlessly, EduRev has designed Class 4 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 4.
|
Explore Courses for Class 4 exam
|
|
Similar Class 4 Doubts
Top Courses for Class 4View all
Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p?
Question Description
Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p?.
Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p?.
Solutions for Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? in English & in Hindi are available as part of our courses for Class 4.
Download more important topics, notes, lectures and mock test series for Class 4 Exam by signing up for free.
Here you can find the meaning of Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? defined & explained in the simplest way possible. Besides giving the explanation of
Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p?, a detailed solution for Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? has been provided alongside types of Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? theory, EduRev gives you an
ample number of questions to practice Look at the following figure X is 1.5 times of y and the area of triangle is 12 square cm find the value of x p? tests, examples and also practice Class 4 tests.
|
|
Explore Courses for Class 4 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup