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 ->  Length-and-distance -> 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       Log On


   

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) About Me  (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) About Me  (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,                                                                                              
                                                                                             matrix%282%2C3%2C+192%2C+%22=%22%2C+%281%2F2%2912D%5BL%5D%2C+192%2C+%22=%22%2C+6D%5BL%5D%29
                                                                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.