Question

The area of a rhombus is 98 cm square. If one of its diagonal is 14cm what is the length of the other diagonal

Answer 1

Q. The area of a rhombus is 98 cm². If one of its diagonal is 14 cm, what is the length of the other diagonal?

Solution :

Area of the rhombus = 1/2*d1*d2
[ in which 'd1' is "diagonal1" , and 'd2' is "diagonal2" ]

One of the diagonal (d1) is 14 cm
Let the other diagonal (d2) be x cm

So,

=> 1/2*d1*d2 = 98

=> 1/2*14*x = 98

=> 7*x = 98

=> x = 98/7

=> x = 14

Hence, another diagonal (d2) = x cm = 14 cm.

VERIFICATION :

Area of rhombus => 1/2*d1*d2

= 1/2*14*14

= 1/2*196

= 98 cm²

Answer 2

Hey frnd

As we know that

Area of rhombus=½(diagonal1*diagonal2)

hence

98cm²= ½(14*d2)

or d2=(98*2)/14

Another diagonal(d2) length =14 cm

Hope it helps you frnd...