Answer
Verified
480k+ views
Hint: Rhombus is a quadrilateral whose four sides have the same length and the diagonals intersect at ${90^ \circ }$. The perimeter of the rhombus $ = 2\sqrt {{d_1}^2 + {d_2}^2} $.
Complete step-by-step answer:
Given,
Length of diagonal ${d_1}$ = 12 cm
Length of diagonal ${d_2}$ = 5 cm
We know that,
Perimeter of rhombus $ = 2\sqrt {{d_1}^2 + {d_2}^2} $
Where ${d_1}$ and ${d_2}$ are the lengths of the diagonals.
Substitute the values of the
$ = 2\sqrt {{{12}^2} + {5^2}} $
$ = 2\sqrt {144 + 25} $
$ = 2\sqrt {169} $
$ = 2 \times 13$
$ = 26cm$
Hence option B is correct.
Note: Generally the perimeter of the rhombus of given side of length S $ = 4 \times S$. We know that the relation length of side and lengths of the diagonals that is $S = \dfrac{{\sqrt {{d_1}^2 + {d_2}^2} }}{2}$$\therefore $ Perimeter of rhombus of given lengths of diagonals $ = 2\sqrt {{d_1}^2 + {d_2}^2} $.
Complete step-by-step answer:
Given,
Length of diagonal ${d_1}$ = 12 cm
Length of diagonal ${d_2}$ = 5 cm
We know that,
Perimeter of rhombus $ = 2\sqrt {{d_1}^2 + {d_2}^2} $
Where ${d_1}$ and ${d_2}$ are the lengths of the diagonals.
Substitute the values of the
$ = 2\sqrt {{{12}^2} + {5^2}} $
$ = 2\sqrt {144 + 25} $
$ = 2\sqrt {169} $
$ = 2 \times 13$
$ = 26cm$
Hence option B is correct.
Note: Generally the perimeter of the rhombus of given side of length S $ = 4 \times S$. We know that the relation length of side and lengths of the diagonals that is $S = \dfrac{{\sqrt {{d_1}^2 + {d_2}^2} }}{2}$$\therefore $ Perimeter of rhombus of given lengths of diagonals $ = 2\sqrt {{d_1}^2 + {d_2}^2} $.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE