Question

Length of a rectangle is 16cm less than twice it's breath. If the perimeter of the rectangle is100 cm. Find its length and breadth

Answer 1

$\sf{\huge{Heya \: mate.\: Solution\\ below}}$
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$\tt{\red{\bold{\underline{Answer -}}}}$





♠ Let the breadth be 'x'.

Then, length = 2x - 16



♠ So, the perimeter would be,

$\sf{= 2(l + b)}$

$\sf{= 2(x + 2x - 16)}$

$\sf{= 2(3x - 16)}$

$\sf{= 6x - 32}$



♠ But, according to the question, perimeter = 100 cm


$\sf{=> 6x - 32 = 100}$

$\sf{=> 6x = 100 + 32}$

$\sf{=> x = \frac{132}{6}}$

$\sf{=> x = 22}$



♠ •°• Breadth = x = 22 cm

♠ And, length
= 2x - 16
= 2(22) - 16
= 44 - 16
= 28 cm
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Thank you... (^_^)