Question

5. The area of the rhombus ABCD shown in
the adjoining Fig. is
(a) 2016 cm
(6) 8190 cm
(c) 4032 cm
(d) 3120 cm
I WANT FULL EXPLANATION NOT ONLY ANSWER SO PLS ONLY FULL EXPLANATION . ​

Answer 1

Let the diagonals of the rhombus be 2x and 2y

Area of rhombus =  

2

1

​  

× Product of the diagonals

=  

2

1

​  

×2x×2y=2xy

⇒2xy=2016

⇒xy=1008

Also,

x  

2

+y  

2

=65  

2

 

⇒x  

2

+y  

2

−2xy=4225−2xy

⇒(x−y)  

2

=4225−2016

⇒(x−y)  

2

=2209

∴(x−y)=47      (1)

similarly,

we can find (x+y)  

2

=6241

∴x+y=79         (2)

Solving (1) and (2) we get,

x=63 and y=16

Now, the diagonals are 2x and 2y

so, the length of the diagonals is 126cm and 32cm.

Answer 2

your answer is 8190 cm²

more information :

65 × 63 = 4095

65 and 63 are given here as in cm²,so we want to multiply 4095 into 2

ie , 4095 × 2

= 8190 cm²