the length and breadth of a rectangle is (5a +2b) m and (3a +b) m.. find its perimeter
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Step-by-step explanation:
Length = (5a + 2b)
Breadth = (3a + b)
Perimeter = ?
Perimeter = 2(length + breadth)
=> perimeter = 2{(5a + 2b) + (3a + b)}
=> perimeter = 2( 5a + 2b + 3a + b)
=> perimeter = 2( 5a + 3a + 2b + b)
=> perimeter = 2(8a + 3b)
=> perimeter = 16a + 6b
Answered by
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Answer:
Perimeter = 2 [( 5a + 2b) × ( 3a + b) ]
= 2 [ 3a ( 5a +2b) × b ( 5a + 2b) ]
= 2 [ 15a + 6b × 5ab +2 b²]
= 2 [ 21ab × 5ab + 2b² ]
= 2 [ 105 ab + 2b²]
= 2 [ 105ab +4 b²]
= 2 [ 109 a]
= 109/2
= 54 a
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