A rhombus-shaped sheet with perimeter 80cm and one diagonal 10
cm, is painted on a side at the rate of Rs. 7 per cm2
. Find the cost of
painting. (√15 = 3.87)
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1
Answer:
Correct option is
A
960
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=
2
a+b+c
=
2
10+10+12
=16cm
ar△ABC=
16(16−10)(16−10)(16−12)
=
16×6×6×4
=48cm
2
ar.ABCD=2×48=96cm
2
Cost of painting the sheet =Rs(5×96×2)=Rs960 [Both sides]
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