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Question

Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is 120 cm2, find x.
  1. 3


Solution

The correct option is A 3

Given: Area of the rhombus  =  120 cm2
           Length of one diagonal = 10 units
           Length of the other diagonal = (7x + 3) units

Area of a rhombus = 12×(product of diagonals)

120=12×10×(7x+3)  

120=5×(7x+3)
  
(7x+3)=1205=24   

7x=21

x=3

Therefore, the value of x is 3 units.

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