The perimeter of a rhombus is \(148 \text{ cm}\) and one of its diagonals is \(70 \text{ cm}\). Its area is equal to the area of a trapezium whose parallel sides are \(x \text{ cm}\) and \(50 \text{…
Question and options
The perimeter of a rhombus is and one of its diagonals is . Its area is equal to the area of a trapezium whose parallel sides are and and the distance between the parallel sides is . What is the value of ?
- 70
- 80
- 60
- 65
Answer and explanation
Correct answer: A - 70
Side = 37; half-diagonals 35 and sqrt(37^2-35^2) = 12, so diagonals 70 and 24, area = 840. Trapezium: (x+50)/2 x 14 = 840 gives x + 50 = 120, x = 70.
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