The area of a rhombus is 385 sq. Cm and altitude is 14 cm. If the difference between parallel sides is 5 cm, then find their lengths.
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Please check whether it is a rhombus or a trapezium because in rhombus all sides are equal.
If it is trapezium then answer will be:
Area of a rhombus=1/2× altitude ×(sum of parallel lengths
Let lengths of two parallel sides be 'x' and 'x+5'
So,
Area =385cm²=1/2×14×(x+x+5)
385=7×(2x+5)
385/7=2x+5
55=2x+5
55-5=2x
50/2=x
x=25cm
So parallel sides are 25cm and 30cm.
If it is trapezium then answer will be:
Area of a rhombus=1/2× altitude ×(sum of parallel lengths
Let lengths of two parallel sides be 'x' and 'x+5'
So,
Area =385cm²=1/2×14×(x+x+5)
385=7×(2x+5)
385/7=2x+5
55=2x+5
55-5=2x
50/2=x
x=25cm
So parallel sides are 25cm and 30cm.
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