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Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?
- a)100:110
- b)210:220
- c)220: 221
- d)221: 220
- e)220: 210
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Area of square ABCD is equal to the area of rectangle PQRS. If the len...
Given:
Area of square ABCD = Area of rectangle PQRS
Length of rectangle PQRS = 1.21 * Breadth of rectangle PQRS
To find:
Ratio of perimeter of ABCD to perimeter of PQRS
Solution:
Let the side of the square ABCD be ‘a’
Area of square ABCD = a^2
Let the breadth of rectangle PQRS be ‘b’
Length of rectangle PQRS = 1.21 * breadth = 1.21b
Area of rectangle PQRS = length * breadth = 1.21b * b = 1.21b^2
Given,
Area of square ABCD = Area of rectangle PQRS
a^2 = 1.21b^2
a/b = (1.21b)/a
a^2 = 1.21ab
a/b = 1.21
Perimeter of square ABCD = 4a
Perimeter of rectangle PQRS = 2(length + breadth) = 2(1.21b + b) = 4.42b
Ratio of perimeter of ABCD to perimeter of PQRS = 4a/4.42b
= a/b * 4/4.42
= 1.21 * 4/4.42
= 220/221
Therefore, the ratio of perimeter of ABCD to perimeter of PQRS is 220:221, which is option (C).
Area of square ABCD = Area of rectangle PQRS
Length of rectangle PQRS = 1.21 * Breadth of rectangle PQRS
To find:
Ratio of perimeter of ABCD to perimeter of PQRS
Solution:
Let the side of the square ABCD be ‘a’
Area of square ABCD = a^2
Let the breadth of rectangle PQRS be ‘b’
Length of rectangle PQRS = 1.21 * breadth = 1.21b
Area of rectangle PQRS = length * breadth = 1.21b * b = 1.21b^2
Given,
Area of square ABCD = Area of rectangle PQRS
a^2 = 1.21b^2
a/b = (1.21b)/a
a^2 = 1.21ab
a/b = 1.21
Perimeter of square ABCD = 4a
Perimeter of rectangle PQRS = 2(length + breadth) = 2(1.21b + b) = 4.42b
Ratio of perimeter of ABCD to perimeter of PQRS = 4a/4.42b
= a/b * 4/4.42
= 1.21 * 4/4.42
= 220/221
Therefore, the ratio of perimeter of ABCD to perimeter of PQRS is 220:221, which is option (C).
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Community Answer
Area of square ABCD is equal to the area of rectangle PQRS. If the len...
Area of square=a^2; Area of rectangle=l*b
As per the question a^2=l*b
l=(121/100)b=121b/100
a^2=121b/100*b
a=11b/10
Perimeter of ABCD=4a=44b/10
Perimeter of PQRS=2(l + b)=2(b+121b/100)=442b/100
Ratio=
Perimeter of ABCD:
Perimeter of PQRS=44b/100:442b/100=220:221
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Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer?
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Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer?.
Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer?.
Solutions for Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Area of square ABCD is equal to the area of rectangle PQRS. If the length of rectangle PQRS is 21% more than its breadth, then what is the ratio of perimeter of ABCD to perimeter of PQRS?a)100:110b)210:220c)220: 221d)221: 220e)220: 210Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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