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CBSE Class 9 Answered

A rhombus sheet whose perimeter is 40 m and one diagonal is 12 m long painted on both sides @ Rs 5 per square m.Find the cost of the painting ?
Asked by Vikas | 18 May, 2017, 11:02: PM
answered-by-expert Expert Answer
begin mathsize 14px style Perimeter equals 40 space straight m rightwards double arrow 4 straight a equals 40 space straight m rightwards double arrow straight a equals 10 space straight m Let space diagonal space AC equals 12 space straight m rightwards double arrow OA equals 6 space straight m therefore space OB squared equals AB squared minus OA squared rightwards double arrow OB equals square root of 10 squared minus 6 squared end root equals square root of 100 minus 36 end root equals square root of 64 equals 8 space straight m rightwards double arrow BD equals 2 OB equals 2 cross times 8 equals 16 space straight m Area space of space sheet equals 1 half cross times AC cross times BD equals 1 half cross times 12 cross times 16 equals 96 space straight m squared Cost space of space painting space on space both space sides space at space the space rate space of space Rs. space 5 space per space straight m squared equals Rs. space left parenthesis 5 cross times 2 cross times 96 right parenthesis equals Rs. space 960 end style
Answered by Rashmi Khot | 19 May, 2017, 09:10: AM

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