Mathematics
The two adjacent sides of a rectangle are 3a - b and 6b - a. Find its perimeter.
Algebraic Expressions
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Answer
Given:
Length = (3a - b)
Breadth = (6b - a)
Perimeter of a rectangle = 2 x (Length + Breadth)
Substituting the values above, we get:
Perimeter of a rectangle = 2 x (3a - b + 6b - a)
= 2 x [(3a - a) + (-b + 6b)] [Grouping like terms]
= 2 x (2a + 5b) [Distributive property of multiplication]
= 4a + 10b
The perimeter of the rectangle is 4a + 10b.
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