The difference between the semi-perimeter 40 m nad one diagonal 12 cm, is painted on both sides at the rate of ₹5 per cm². Find the cost of painting.
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Step-by-step explanation:
Let ABCD be a rhombus, then AB=BC=CD=DA=x
Perimeter of rhombus =40cm
⇒4x=40cm⇒x=10cm
∴AB=BC=CD=DA=10cm
In △ABC,S= a+b+c/2 = 10+10+12/2 =16cm
ar△ABC= √16(16−10)(16−10)(16−12) = √16×6×6×4
=48cm²
ar.ABCD=2×48=96cm²
Cost of painting the sheet =Rs(5×96×2)=Rs960 [Both sides]
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