Question

the length of rectangular field is twice its breadth if the perimeter of the field is 150 metres find the length and breadth

Answer 1

$\LARGE{\mathfrak{\underline{\underline{\red{Answer :-}}}}}$

Given :-

Length of rectangular feild is twice it's bredth.

Perimeter of rectangular feild = 150 m

To Find :-

Length and breadth of rectangular feild.

Solution :-

Let the breath be a.

So,Length will be 2a.

We know that,

$\LARGE{\boxed{\red{Perimeter \: of \: rectangle \: = \:2(l + b)}}}$

_____________[Put Values]

150 = 2(a + 2a)

150 = 2a + 4a

150 = 6a

150/6 = a

25 = a

✯ So, breath of rectangular field will be = a = 25m.

✯ Length of rectangular field will be = 2a = 2(25) = 50m.

Verification :-

Using Formula :-

$\LARGE{\boxed{\red{Perimeter \: of \: rectangle \: = \:2(l + b)}}}$

150 = 2(25 + 50)

150 = 2(75)

150 = 150

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