SOLUTION: The length of the shorter diagonal of a rhombus Is 12cm . A)given That the erea of the rhombus Is 192cm� .find the length of the longeur side . B) given That the length of the

Algebra.Com
Question 1093827: The length of the shorter diagonal of a rhombus Is 12cm
. A)given That the erea of the rhombus Is 192cm� .find the length of the longeur side
. B) given That the length of the longer aide Is 2 times than of the shorter .find the erea of the rhombus
. Please show all step
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
The formula for area of Rhombus = 1/2 the product of diagonals
the erea of the rhombus Is 192cm^2
one diagonal =12 cm
192 = d1*12*1/2
6 d1= 192
d1= 31 cm
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
The length of the shorter diagonal of a rhombus Is 12cm
. A)given That the erea of the rhombus Is 192cm� .find the length of the longeur side
. B) given That the length of the longer aide Is 2 times than of the shorter .find the erea of the rhombus 
. Please show all step

A rhombus is a parallelogram with all sides CONGRUENT, so THIS question must be about the diagonals.

A) given That the erea area of the rhombus Is 192 cm, find the length of the longeur side longer DIAGONAL

With DL and DS being lengths of the longer and shorter diagonals, respectively,                                                                                              
                                                                                             
                                                                Length of longer diagonal, or 

R E I T E R A T E D
A rhombus is a parallelogram with all sides CONGRUENT, so THIS question must be about the diagonals.

B) given That the length of the longer aide DIAGONAL Is 2 times than that of the shorter. find the erea area of the rhombus. 

Let shorter DIAGONAL be S
Then longer is 2S 
                                                                                             
                  

So, area of ANY rhombus with its LONGER DIAGONAL twice its SHORTER DIAGONAL is its (SHORTER DIAGONAL)2.
RELATED QUESTIONS

The side of a rhombus is equal in length to that of the shorter diagonal. If the longer... (answered by Gogonati)
please illustrate the figure..The shorter diagonal of rhombus is equal to one of its... (answered by venugopalramana)
the shorter diagonal of rhombus is equal to one of its sides. the length of a side of the (answered by venugopalramana)
the shorter diagonal of rhombus is equal to one of its sides. (a) find each diagonal... (answered by venugopalramana)
the diagonal of a rhombus measure 8cm and 6cm.what is the length of a side of the rhombus (answered by KMST)
The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, what (answered by edjones)
the larger angle of a rhombus is twice the smaller angle of the rhombus. If the shorter... (answered by ikleyn)
Find the length of a diagonal of a rhombus when the area is 48 and the other diagonal is... (answered by Edwin McCravy)
One side and the altitude of a rhombus measure 120 m and 90 m respectively. a)Find the... (answered by greenestamps)