Question

27. The length of a rectangular field is twice its breadth. If the perimeter of the field is 150
metres, find its length and breadth.
2p Two equal sides of a triangle are each 5 metres less than twice the third side. If the
perimeter of the triangle is 55 metres, find the lengths of its sides.

Answer 1

Step-by-step explanation:

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)}}}Perimeterofrectangle=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 :-

150 = 2(25 + 50)

150 = 2(75)

150 = 150