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The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.?
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The length of a rectangle is twice its breadth. If its perimeter is 60...
Problem Statement: The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.
Solution:
Let's assume that the breadth of the rectangle is x cm.
According to the problem statement, the length of the rectangle is twice its breadth.
Hence, the length of the rectangle is 2x cm.
Perimeter of a rectangle: The perimeter of a rectangle is the sum of all its sides. In other words, the perimeter of a rectangle is equal to the sum of its length and breadth.
Perimeter of the rectangle = 2(length + breadth)
Substituting the values of length and breadth in the above equation, we get:
Perimeter of the rectangle = 2(2x + x)
Perimeter of the rectangle = 2(3x)
Perimeter of the rectangle = 6x
Given that the perimeter of the rectangle is 60 cm.
Hence, 6x = 60
x = 10
Therefore, the breadth of the rectangle is 10 cm.
The length of the rectangle is twice its breadth.
Hence, the length of the rectangle is 2x = 2(10) = 20 cm.
Hence, the length and breadth of the rectangle are 20 cm and 10 cm, respectively.
Final Answer: The length and breadth of the rectangle are 20 cm and 10 cm, respectively.
Solution:
Let's assume that the breadth of the rectangle is x cm.
According to the problem statement, the length of the rectangle is twice its breadth.
Hence, the length of the rectangle is 2x cm.
Perimeter of a rectangle: The perimeter of a rectangle is the sum of all its sides. In other words, the perimeter of a rectangle is equal to the sum of its length and breadth.
Perimeter of the rectangle = 2(length + breadth)
Substituting the values of length and breadth in the above equation, we get:
Perimeter of the rectangle = 2(2x + x)
Perimeter of the rectangle = 2(3x)
Perimeter of the rectangle = 6x
Given that the perimeter of the rectangle is 60 cm.
Hence, 6x = 60
x = 10
Therefore, the breadth of the rectangle is 10 cm.
The length of the rectangle is twice its breadth.
Hence, the length of the rectangle is 2x = 2(10) = 20 cm.
Hence, the length and breadth of the rectangle are 20 cm and 10 cm, respectively.
Final Answer: The length and breadth of the rectangle are 20 cm and 10 cm, respectively.
Community Answer
The length of a rectangle is twice its breadth. If its perimeter is 60...
Let the breadth be x cm
length= 2x cm
perimeter= 2(l+b)
60 = 2 (2x+x)
60÷2= 3x
30 = 3x
3x=30
x=30÷3
x= 10
hence,
breadth= 10 cm
length= 2×10
= 20 cm
CHECK
perimeter of rectangle= 2(l+b)
=2(20+10)
=2×30
=60 cm
length= 2x cm
perimeter= 2(l+b)
60 = 2 (2x+x)
60÷2= 3x
30 = 3x
3x=30
x=30÷3
x= 10
hence,
breadth= 10 cm
length= 2×10
= 20 cm
CHECK
perimeter of rectangle= 2(l+b)
=2(20+10)
=2×30
=60 cm
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The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.?
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The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.? 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 length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.?.
The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.? 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 length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.?.
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