Question

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

Solution

## The correct option is A 3Given: 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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