Question

In a Rhombus, one diagonal is four times of the other diagonal. If the area of Rhombus is 968 cm2, then find the diagonals.

Answer 1

Answer:

hope this answer would be help full

Answer 2

Answer:

Answer

Let the diagonals of the rhombus be a and b

then, b−a=4 or b=(4+a)

Area of rhombus =  

2

1

​  

ab=30

a(4+a)=60

4a+a  

2

=60

a  

2

+4a−60=0

a=  

2

−4±  

16+240

​  

 

​  

=  

2

−4±16

​  

 

∴a=6,−10

Taking only positive value of a

Other diagonal =6+4=10cm

Thus diagonals are 6cm and 10cm

Step-by-step explanation: