A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate ₹5 per cm². Find the cost of painting.
Answers
answer :
Correct option is A)
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]
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A Rhombus shaped sheet with perimeter 40cm and one diagonal 12 cm is pointed on both sides at the rate of Rs. 5perm
2
. Find the cost of painting.
Medium
Solution
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Correct option is A)
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]