Question

A rhombus-shaped sheet with perimeter 52cm and one diagonal 10 cm, is painted on both sides at the rate of Rs. 7 per m2 . Find the cost of painting.

Answer 1

Answer:

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=2a+b+c=210+10+12=16cm

ar△ABC=16(16−10)(16−10)(16−12)=16×6×6×4=48cm2ar.ABCD=2×48=96cm2

Cost of painting the sheet =Rs(5×96×2)=Rs960 [Both sides]