Question

The perimeter of the rectangle is 20cm. If the length of the rectangle is 6cm, then its breadth will

be:

(a) 4 cm (b) 6 cm (c). 10 cm (d) 14 cm​

Answer 1

a)4cm

because perimeter =2×(l plus b)

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Answer 2

Answer:

$\sf \green{Given\: that :–}$

$\sf Perimeter\: of \:the \:rectangle = 20cm$

$\sf Length \:of \:the\: rectangle (l) = 6cm$

$\sf \blue{To \:Find :–}$

$\sf Breadth \:of \:the\: rectangle (b)$

$\sf \purple {Solution :–}$

$\sf \pink {We \:know\: that,}$

$\sf Perimeter = 2(l + b)$

$\sf \orange {Then,}$

$\sf Perimeter = 20cm$

$\sf length (l) = 6cm$

$\sf \red {Now,}$

Put the given values in the formula

$\sf \blue \implies \green{2(l + b) = 20cm}$

$\sf \pink \implies \purple{ 2(6 + b) = 20cm}$

$\sf \red \implies \orange {6 + b = \dfrac{\cancel{20}}{\cancel2}}$

$\sf \green \implies \blue { 6 + b = 10}$

$\sf \purple \implies \pink {b = 10 – 6}$

$\sf \sf \orange \implies \red {b = 4cm}$

$\sf \green{Hence,}$

$\sf \red \therefore The \:breath \:of \:the \:rectangle\: is\: 4cm.$