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The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then?
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The sum of the areas of a square and rectangle is 448 m square . if t...
Solution:
Let's assume that the side of the square is 'x' meters.
Given that the length of the rectangle is 3 times the side of the square, and the breadth of the rectangle is 2 times the side of the square.
So, the length of the rectangle = 3x meters
And the breadth of the rectangle = 2x meters
The area of the square can be calculated by squaring the length of one side, which is given by x * x = x^2 square meters.
The area of the rectangle can be calculated by multiplying its length and breadth, which is given by (3x) * (2x) = 6x^2 square meters.
According to the problem, the sum of the areas of the square and rectangle is 448 square meters.
So, we can write the equation as:
x^2 + 6x^2 = 448
Simplifying the equation, we get:
7x^2 = 448
Dividing both sides of the equation by 7, we get:
x^2 = 64
Taking the square root of both sides, we get:
x = 8
Answer:
The side of the square is 8 meters.
To find the length and breadth of the rectangle, we can substitute the value of x in the equations:
Length of the rectangle = 3x = 3 * 8 = 24 meters
Breadth of the rectangle = 2x = 2 * 8 = 16 meters
Therefore, the length of the rectangle is 24 meters and the breadth of the rectangle is 16 meters.
Let's assume that the side of the square is 'x' meters.
Given that the length of the rectangle is 3 times the side of the square, and the breadth of the rectangle is 2 times the side of the square.
So, the length of the rectangle = 3x meters
And the breadth of the rectangle = 2x meters
The area of the square can be calculated by squaring the length of one side, which is given by x * x = x^2 square meters.
The area of the rectangle can be calculated by multiplying its length and breadth, which is given by (3x) * (2x) = 6x^2 square meters.
According to the problem, the sum of the areas of the square and rectangle is 448 square meters.
So, we can write the equation as:
x^2 + 6x^2 = 448
Simplifying the equation, we get:
7x^2 = 448
Dividing both sides of the equation by 7, we get:
x^2 = 64
Taking the square root of both sides, we get:
x = 8
Answer:
The side of the square is 8 meters.
To find the length and breadth of the rectangle, we can substitute the value of x in the equations:
Length of the rectangle = 3x = 3 * 8 = 24 meters
Breadth of the rectangle = 2x = 2 * 8 = 16 meters
Therefore, the length of the rectangle is 24 meters and the breadth of the rectangle is 16 meters.
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The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then?
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The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then?.
The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the areas of a square and rectangle is 448 m square . if the length and breadth of the rectangle are 3 times and 2 times the side of the square respectively then?.
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