The two adjacent sides of a rectangle are $6 a + 9 b$ and $8 a - 4 b$ . Find its perimeter.

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Solution

It is given that
Sides of a rectangle are $6 a + 9 b$ and $8 a - 4 b$
So length $= 6 a + 9 b$ and breadth $= 8 a - 4 b$
We know that
Perimeter $= 2$ (length $+$ breadth)
Substituting the values
$= 2 (6 a + 9 b + 8 a - 4 b)$
By further calculation
$= 2 (14 a + 5 b)$
So we get
$= 28 a + 10 b$

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