Question

Length of a rectangle is 5 times its breadth. If the length of the field is 140 cm. Find its perimeter

Answer 1

Given :

Length of a rectangle is 5 times it's breadth

Length of the field is 140 cm

To find :

Perimter of the rectangular field

Solution :

Let the breadth of the rectangle be 'x' , then length of the rectangular field becomes '5x'

But we are given that length of the rectangular field as 140 cm.

$\\ : \implies \sf \: 5x = 140 \: cm \\ \\ \\ : \implies \sf \: x = \frac{140 \: cm}{5} \\ \\ \\ : \implies \boxed{\underline{\sf {\: x = 28 \: cm}}}$

Then breadth(x) = 28 cm and Length = 140 cm

The perimeter of a rectangle is given by ,

$\star\large{\boxed{\purple{\sf{Perimeter\:of\:a\:rectangle=2(l+ b)}}}}$

$\\ :\implies \sf Perimeter = 2(28\:cm+140\:cm)\\ \\ \\ :\implies\sf Perimeter=2(168\:cm)\\ \\ \\ :\implies{\boxed{\underline{\sf {Perimeter=336\:cm}}}}$

Hence , The perimeter of the rectangular field is 336 cm.