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Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?
- a)90 cm
- b)45 cm
- c)89 cm
- d)98 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Mrs Kaushik gives a problem to her students. Find the perimeter of a r...
ABCD is a rectangle,
In ΔACB, AC2 = AB2+BC2 (By Pythagoras theorem)
(35)2 = (28)2+BC2 or BC2 = (35)2−(28)2
⇒ BC2 = 1225−784 ⇒ BC2 = 441
∴ BC=
=21cm∴ Perimeter of rectangle
= 2×(28+21)cm = 2×(49)cm = 98cm
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
Mrs Kaushik gives a problem to her students. Find the perimeter of a r...
Understanding the Problem
To find the perimeter of a rectangle when given the length and the diagonal, we can use the Pythagorean theorem. The rectangle has two sides: length and width. The diagonal acts as the hypotenuse of a right triangle formed by these two sides.
Given Values
- Length (L) = 28 cm
- Diagonal (D) = 35 cm
Finding the Width
Using the Pythagorean theorem:
- D^2 = L^2 + W^2
Substituting the known values:
- 35^2 = 28^2 + W^2
- 1225 = 784 + W^2
- W^2 = 1225 - 784
- W^2 = 441
- W = √441
- W = 21 cm
Now, we have both the length and width of the rectangle:
- Length = 28 cm
- Width = 21 cm
Calculating the Perimeter
The formula for the perimeter (P) of a rectangle is:
- P = 2(L + W)
Substituting the values we have:
- P = 2(28 cm + 21 cm)
- P = 2(49 cm)
- P = 98 cm
Conclusion
The perimeter of the rectangle is 98 cm. Thus, the correct answer is option 'D'.
To find the perimeter of a rectangle when given the length and the diagonal, we can use the Pythagorean theorem. The rectangle has two sides: length and width. The diagonal acts as the hypotenuse of a right triangle formed by these two sides.
Given Values
- Length (L) = 28 cm
- Diagonal (D) = 35 cm
Finding the Width
Using the Pythagorean theorem:
- D^2 = L^2 + W^2
Substituting the known values:
- 35^2 = 28^2 + W^2
- 1225 = 784 + W^2
- W^2 = 1225 - 784
- W^2 = 441
- W = √441
- W = 21 cm
Now, we have both the length and width of the rectangle:
- Length = 28 cm
- Width = 21 cm
Calculating the Perimeter
The formula for the perimeter (P) of a rectangle is:
- P = 2(L + W)
Substituting the values we have:
- P = 2(28 cm + 21 cm)
- P = 2(49 cm)
- P = 98 cm
Conclusion
The perimeter of the rectangle is 98 cm. Thus, the correct answer is option 'D'.
Community Answer
Mrs Kaushik gives a problem to her students. Find the perimeter of a r...
ABCD is a rectangle
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Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer?
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Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer? 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 Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer?.
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Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?a)90 cm b)45 cmc)89 cm d)98 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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