42cm long wire is to be bent to form a rectangle. length of the diagonal of a rectangle is 15cm.find the length and breadth of rectangle?
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Answer:
length = 12. breadth = 9
Step-by-step explanation:
length + breadth =
l + b = 42/3
= 21
l² + b² = 15² = 225
( l + b )² = l² + b² + 2lb
21² = 225 + 2lb
2lb = 441-225 = 216
( l - b)² = l² + b² - 2lb
= 225 - 216
= 9
l - b = 3
l + b = 21
Adding these, we get
2l = 24
l = 12
b = 21 - 12
= 9
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