A rhombus shaped sheet with perimeter 40 cm and one diagonal is 12 cm, is painted on both sides at the rate of rs.5 per m sq. find the cost of painting. need the answer fast. pls help
let ABCD be a rhombus,
perimeter = 40
so, AB=BC=CD=DA=10
let diagnols ACBD intersect at O
so let BD =12
or BO=6so in trangle AOB
AB2= AO2+OB2
AO2=102-62
AO2=64
AO=8
AC=16
so area of rhombus is 1/2*d1*d2
ar ABCD = 1/2*12*16
=96cm2
total area of both sides = 192 cm2
cost of painting 1 m2 = Rs 5
cost of painting 10000 cm2 = Rs 5 (1m sq = 10,000 cm sq)
cost of painting 1 cm2 = Rs 5/10000
cost of painting 192 cm2 = Rs 5/10000 * 192
cost of painting 192 cm2 = Re 0.096
it will cost 9.6 paise for painting both the sides of rhombus