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A house has a rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m.find the measurement of the yar(d)
- a)Length = 18m and Breadth = 12m
- b)Length = 19m and Breadth = 15m
- c)Length = 13m and Breadth = 16m
- d)Length = 16m and Breadth = 22m
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A house has a rectangular yard in front of it for children to play. T...
Let the length be x Breadth = x - 6
View all questions of this test
Perimeter = 60
2(x + x - 6)= 60
4x = 72
x = Length = 18m
Breadth = 18 - 6 = 12m
Most Upvoted Answer
A house has a rectangular yard in front of it for children to play. T...
Let,the length be x.
Breadth=x-6
Perimeter=60m
2(x+x-6)=60
4x=72
x=18.
Thus, length=18m.
And, Breadth=x-6
=18-6
=12m.
Breadth=x-6
Perimeter=60m
2(x+x-6)=60
4x=72
x=18.
Thus, length=18m.
And, Breadth=x-6
=18-6
=12m.
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Community Answer
A house has a rectangular yard in front of it for children to play. T...
To solve this problem, we can use the information given in the question to set up a system of equations. Let's assign variables to the length and width of the yard.
Let the width of the yard be x meters.
Since the length exceeds the width by 6 meters, the length of the yard would be (x + 6) meters.
Given that the perimeter of the yard is 60 meters, we can set up the following equation:
2(x + x + 6) = 60
Simplifying the equation, we have:
2(2x + 6) = 60
4x + 12 = 60
4x = 48
x = 12
Therefore, the width of the yard is 12 meters.
To find the length, we can substitute the value of x back into the equation:
Length = x + 6
Length = 12 + 6
Length = 18 meters
So, the measurement of the yard is Length = 18m and Breadth = 12m, which matches with option A.
Let the width of the yard be x meters.
Since the length exceeds the width by 6 meters, the length of the yard would be (x + 6) meters.
Given that the perimeter of the yard is 60 meters, we can set up the following equation:
2(x + x + 6) = 60
Simplifying the equation, we have:
2(2x + 6) = 60
4x + 12 = 60
4x = 48
x = 12
Therefore, the width of the yard is 12 meters.
To find the length, we can substitute the value of x back into the equation:
Length = x + 6
Length = 12 + 6
Length = 18 meters
So, the measurement of the yard is Length = 18m and Breadth = 12m, which matches with option A.
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A house has a rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m.find the measurement of the yar(d)a)Length = 18m and Breadth = 12mb)Length = 19m and Breadth = 15mc)Length = 13m and Breadth = 16md)Length = 16m and Breadth = 22mCorrect answer is option 'A'. Can you explain this answer?
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A house has a rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m.find the measurement of the yar(d)a)Length = 18m and Breadth = 12mb)Length = 19m and Breadth = 15mc)Length = 13m and Breadth = 16md)Length = 16m and Breadth = 22mCorrect answer is option 'A'. Can you explain this answer? 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 A house has a rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m.find the measurement of the yar(d)a)Length = 18m and Breadth = 12mb)Length = 19m and Breadth = 15mc)Length = 13m and Breadth = 16md)Length = 16m and Breadth = 22mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A house has a rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m.find the measurement of the yar(d)a)Length = 18m and Breadth = 12mb)Length = 19m and Breadth = 15mc)Length = 13m and Breadth = 16md)Length = 16m and Breadth = 22mCorrect answer is option 'A'. Can you explain this answer?.
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