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CBSE Class 9 Answered

 Q.- A rhombous sheet whose perimeter is 32m. and whose one diagonal 10m. long is painted on both side at the rate of rs.5 per meter square find the cost of painting ???
Asked by 261208304451728 | 02 Jun, 2018, 01:21: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space ABCD space be space straight a space Rhombus. Perimeter space of space straight a space Rhombus space equals space 4 space cross times space AB rightwards double arrow 32 space equals space 4 space cross times space AB rightwards double arrow AB space equals space 8 straight m In space increment ABE comma Since comma space AEB space is space straight a space right space angle. By space Pythagoras space Theore comma space we space get AB squared space equals space AE squared plus space EB squared space space...................... AE space equals space 1 half AC space equals 5 straight m space space left parenthesis space as space one space diagonal space equals space 10 space straight m right parenthesis rightwards double arrow 8 squared space equals space 5 squared space space plus space EB squared space rightwards double arrow EB squared space space equals space 39 rightwards double arrow EB space space space space equals space square root of 39 straight m rightwards double arrow BD space equals space 2 square root of 39 straight m..................... since space BD space equals space 2 space EB Area space of space straight a space Rhombus space equals space 1 half space cross times straight d subscript 1 space end subscript cross times space straight d subscript 2 space equals space 1 half space cross times 10 cross times 2 square root of 39 space equals space 10 square root of 39 space straight m squared Area space of space the space painted space side space equals space 2 space cross times 10 square root of 39 space equals space 20 square root of 39 space space left parenthesis space as space it space painted space from space both space the space sides right parenthesis Rate space of space painting space equals space 5 space Rs divided by straight m squared rightwards double arrow Cost space of space painting space equals space 20 square root of 39 space cross times 5 space equals space 100 square root of 39 space equals space 100 space cross times 6.245 space equals space 624.5 space Rs end style
Answered by Yasmeen Khan | 04 Jun, 2018, 07:35: PM

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CBSE 9 - Maths
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