Question

the length of a rectangular field is twice its breadth .If the perimeter of the field is 600m. find the dimensions.

Answer 1

Given,

$\bf Perimeter \: of \: the \: Rectangle = 600m$

$\bf Length \: (l) \: of \: a \: rectangular \: field = 2breadth \: (b)$

We know that,

$\boxed{\boxed{\large\mathbf{Perimeter \: of \: Rectangle = 2( l + b)}}}$

Putting the values we get,

$600 = 2(l + b) \\ \\ 600 = 2(2b + b) \: \: \: \: \: \: \: \: \: \: \: \: \: \bf (Given) \\ \\ 600 = 2(3b) \\ \\ 3b = \frac{600}{2} \\ \\ 3b = 300 \\ \\ b = \frac{300}{3} \\ \\ \bf b = 100m \\ \\ Given \: that \\ \\ l = 2b \\ \\ l = 2(100) \\ \\ \bf l = 200m$

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