Given that the area of the rhombus is 120 sq. units: value of x = 12; BD = 10 units.
What is the Area of a Rhombus?
Area of rhombus = 1/2(d1 × d2), where d1 and d2 are the diagonals of the rhombus.
Given:
- Area = 120 sq. units.
- AE = 12
- AC = 2×12 = 24
- BD = x - 2
Area = 1/2(AC × BD)
120 = 1/2(24)(x - 2)
240 = 24x - 48
240 + 48 = 24x
288 = 24x
288/24 = x
x = 12
BD = x - 2
Plug in the value of x
BD = 12 - 2
BD = 10 units
Therefore, given that the area of the rhombus is 120 sq. units: value of x = 12; BD = 10 units.
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