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If length of a rectangle is 5 less than 3 times its breadth and perimeter of the rectangle is 22m, then area of the rectangle is

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14 $m^{2}$

21 $m^{2}$

11 $m^{2}$

28 $m^{2}$

answer is A.

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Detailed Solution

Given $b = x$

$l = 3 x - 5$

Perimeter of rectangle $= 22$

$2 (l + b) = 2 (3 x - 5 + x) = 22$

$2 (4 x - 5) = 22$

$4 x - 5 = 11$

$4 x = 16$

$x = 4$

$b = 4$

$l = 3 (4) - 5$

$= 12 - 5$

$= 7$

Area = $l \times b$

$= 4 \times 7$

$= 28 m^{2}$

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