Question

the length of a rectangular lawn is two times of it's breadth.if perimeter is 120m,find it's length and breadth​

Answer 1

Answer :-

• The breadth of the rectangular lawn is 20 m.

• It's length is 40 m.

Given :-

• The length of a rectangular lawn is two times it's breadth.

• It's perimeter is 120 m.

To find :-

• It's length and breadth.

Step-by-step explanation :-

• Here, the perimeter of a rectangular lawn has been given to us. We have to find it's length and breadth.

Let the breadth of the lawn be "x".

• As the length of the lawn is two times it's breadth, therefore let it be "2x".

Now, we know that :-

$\underline{ \boxed{ \sf Perimeter \: of \: a \: rectangle = 2 \: (L + B)}}$

Here,

• Length = 2x.
• Breadth = x.

Substituting the given values in this formula,

$\implies\rm120 = 2 \: (2x + x)$

Adding 2x and x,

$\implies\rm120 = 2 \: (3x)$

Removing the brackets,

$\implies\rm 120 = 2 \times 3x$

Multiplying 2 with 3x,

$\implies\rm120 = 6x$

Transposing 6 from RHS to LHS, changing it's sign,

$\implies\rm \dfrac{120}{6} = x$

Dividing 120 by 6,

$\implies\overline{ \boxed{ \rm20 \: m = x}}$

--------------------------------

Hence, the length and breadth of the lawn are as follows :-

$\bf Breadth = x = 20 \: m.$

$\bf Length = 2x = 2 \times 20 = 40 \: m.$