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If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be?
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If the length of rectangle is 5 cm more than the breadth and if the pe...
Explanation:
To find out the length and breadth of the rectangle, we need to follow the given steps:
Step 1: Let's assume that the breadth of the rectangle is "x" cm.
Therefore, the length of the rectangle will be (x+5)cm (given that the length is 5 cm more than the breadth).
Step 2: Now, we need to use the formula for the perimeter of the rectangle, which is given as:
Perimeter of rectangle = 2(length + breadth)
Step 3: Substituting the values of length and breadth in the above formula, we get:
40 cm = 2((x+5) + x)
Step 4: Simplifying the above equation, we get:
40 cm = 2x + 10 + 2x
Or, 40 cm = 4x + 10
Step 5: Bringing the variables to one side and the constants to the other side, we get:
4x = 40 - 10
Or, 4x = 30
Or, x = 7.5 cm (approx)
Step 6: Therefore, the breadth of the rectangle is 7.5 cm, and the length of the rectangle is (7.5 + 5) cm = 12.5 cm.
Step 7: Hence, the length and breadth of the rectangle are 12.5 cm and 7.5 cm, respectively.
Conclusion:
Thus, we can find the length and breadth of the rectangle by using the given information about the length, breadth, and perimeter of the rectangle. We just need to use the formula for the perimeter of the rectangle and solve for the variables.
To find out the length and breadth of the rectangle, we need to follow the given steps:
Step 1: Let's assume that the breadth of the rectangle is "x" cm.
Therefore, the length of the rectangle will be (x+5)cm (given that the length is 5 cm more than the breadth).
Step 2: Now, we need to use the formula for the perimeter of the rectangle, which is given as:
Perimeter of rectangle = 2(length + breadth)
Step 3: Substituting the values of length and breadth in the above formula, we get:
40 cm = 2((x+5) + x)
Step 4: Simplifying the above equation, we get:
40 cm = 2x + 10 + 2x
Or, 40 cm = 4x + 10
Step 5: Bringing the variables to one side and the constants to the other side, we get:
4x = 40 - 10
Or, 4x = 30
Or, x = 7.5 cm (approx)
Step 6: Therefore, the breadth of the rectangle is 7.5 cm, and the length of the rectangle is (7.5 + 5) cm = 12.5 cm.
Step 7: Hence, the length and breadth of the rectangle are 12.5 cm and 7.5 cm, respectively.
Conclusion:
Thus, we can find the length and breadth of the rectangle by using the given information about the length, breadth, and perimeter of the rectangle. We just need to use the formula for the perimeter of the rectangle and solve for the variables.
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If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be?
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If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be?.
If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of rectangle is 5 cm more than the breadth and if the perimeter of the rectangle is 40 cm then the length breadth of the rectangle will be?.
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