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A rhombus has diagonals of length 8 cm and 6 cm. Find its perimeter:
- a)24 cm
- b)28 cm
- c)18 cm
- d)20 cm
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A rhombus has diagonals of length 8 cmand 6 cm. Find its perimeter:a)2...
As we know that the diagonal of a rhombus meet at 90°. So, we will be applying the Pythagoras theorem to find out the side of a rhombus and will be multiplying it by 4 and as we know all the sides of a rhombus are equal and the perimeter is equal to the sum of all sides of a figure. Let us divide the diagonal into two equal halves, i.e., 4 cm and 3 cm.
Now applying Pythagoras theorem, by taking the side of a rhombus as x cm.
(x)2 = (4)2 + (3)2
⇒ x2 = 16 + 9
⇒ x2 = 25
⇒ x = √25 = 5
Therefore, Perimeter of rhombus = 4 × 5 cm = 20 cm.
Now applying Pythagoras theorem, by taking the side of a rhombus as x cm.
(x)2 = (4)2 + (3)2
⇒ x2 = 16 + 9
⇒ x2 = 25
⇒ x = √25 = 5
Therefore, Perimeter of rhombus = 4 × 5 cm = 20 cm.
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Community Answer
A rhombus has diagonals of length 8 cmand 6 cm. Find its perimeter:a)2...
Given information:
- Length of the diagonal 1 (d1) = 8 cm
- Length of the diagonal 2 (d2) = 6 cm
Formula to find the perimeter of a rhombus:
- Perimeter = 4 x side length
Finding the side length of the rhombus:
- Using the diagonals, we can find the side length of the rhombus using the formula:
- Side length = sqrt((d1/2)^2 + (d2/2)^2)
- Substituting the given values:
- Side length = sqrt((8/2)^2 + (6/2)^2)
- Side length = sqrt(16 + 9)
- Side length = sqrt(25)
- Side length = 5 cm
Calculating the perimeter:
- Perimeter = 4 x 5
- Perimeter = 20 cm
Therefore, the perimeter of the rhombus is 20 cm. Hence, option 'D' is the correct answer.
- Length of the diagonal 1 (d1) = 8 cm
- Length of the diagonal 2 (d2) = 6 cm
Formula to find the perimeter of a rhombus:
- Perimeter = 4 x side length
Finding the side length of the rhombus:
- Using the diagonals, we can find the side length of the rhombus using the formula:
- Side length = sqrt((d1/2)^2 + (d2/2)^2)
- Substituting the given values:
- Side length = sqrt((8/2)^2 + (6/2)^2)
- Side length = sqrt(16 + 9)
- Side length = sqrt(25)
- Side length = 5 cm
Calculating the perimeter:
- Perimeter = 4 x 5
- Perimeter = 20 cm
Therefore, the perimeter of the rhombus is 20 cm. Hence, option 'D' is the correct answer.
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A rhombus has diagonals of length 8 cmand 6 cm. Find its perimeter:a)24 cmb)28 cmc)18 cmd)20 cmCorrect answer is option 'D'. Can you explain this answer?
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A rhombus has diagonals of length 8 cmand 6 cm. Find its perimeter:a)24 cmb)28 cmc)18 cmd)20 cmCorrect answer is option 'D'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about A rhombus has diagonals of length 8 cmand 6 cm. Find its perimeter:a)24 cmb)28 cmc)18 cmd)20 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rhombus has diagonals of length 8 cmand 6 cm. Find its perimeter:a)24 cmb)28 cmc)18 cmd)20 cmCorrect answer is option 'D'. Can you explain this answer?.
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