Question

Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room? * 1 point 26m, 2m 26m,20m 2m, 20m 2m, 3m

Answer 1

Answer:

Length = 26 metres

Breadth = 20 metres

Step-by-step explanation:

Perimeter of rectangular room = 2(l+b)

Let x metres be the breadth

And length be x + 6 metres

1/2*2(x + 6 + x) = 46 metres

2x + 6 = 46  

2x = 40

x = 20

Breadth = 20 metres

Length = x + 6 = 20 + 6 = 26 metres

Answer 2

Given:-

• Half of Perimeter of a rectangular room is 46 m.

To find:-

• Length and Breadth of the room.

Solution:-

• As it's is given its length is 6 m more than its breadth.So,

Let the Breadth of rectangular room be 'x'.

And the length of rectangular room be 'x + 6'.

We know that,

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

In which,

• l is length of rectangle.
• b is breadth of rectangle.

Perimeter of rectangle = 2 × 46 = 92 m.

[Beacuse 46 m is half Perimeter of rectangular room]

Put l , b and Perimeter of rectangular room in formula,

$\implies \sf 2 \times (x + x + 6) = 92$

$\implies \sf 2x + 2x + 12 = 92$

$\implies \sf 4x = 92 - 12$

$\implies \sf 4x = 80$

$\implies \sf x = \dfrac{80}{4}$

$\implies \sf x = 20$

We have taken ,

'x' to be Breadth of rectangular room = 20 m.

'x + 6' to be length of rectangle room = 20 + 6 = 26m.

Therefore,

Length and Breadth of rectangular room are 26 m and 20 m respectively.