Question

The lenght of a rectangle is twice of
its breadth. Find the dimentions if
the Perimeter is 156cm.


please help me with this question....​​

Answer 1

Answer:

The dimensions of the rectangle are 52 cm and 26 cm.

Step-by-step explanation:

Given :

• The length of a rectangle is twice of its breadth.
• Perimeter of the rectangle = 156 cm

To find:

• Dimensions of the rectangle.

Solution:

Let the breadth of the rectangle be x cm.

★ The length of a rectangle is twice of its breadth.

Then,

• Length of the rectangle = 2x cm

We know that,

${\boxed{\sf{Perimeter\: of\: rectangle=2(length+breadth)}}}$

Then,

Perimeter of rectangle,

= 2 (2x+x) cm

= 2×3x cm

= 6x cm

According to the question,

• → 6x = 156
• → x = 156/6
• → x = 26

Therefore,

• Breadth of the rectangle = 26 cm
• Length of the rectangle = 2×26 = 52 cm

_______________

More info:-

• Area of rectangle = length× breath
• Diagonal of rectangle = √(length ²+breadth ²)
• Perimeter of square = 4× side
• Area of square = side²

Answer 2

$\huge\bold{Answer:-}$

Given:-

• The length of a rectangle is twice of its breadth .

• The perimeter of the rectangle is 156 Cm.

ToFind:-

• The Dimensions of the rectangle .

Formulla used:-

Perimeter of a rectangle is = 2 ( length + breadth) units.

Solution:-

Let, the breadth of the rectangle be x Cm

The length of the rectangle be 2x Cm

ATQ

⟼ 2( l + b ) = 156

⟼ 2 ( x + 2x ) = 156

⟼ x + 2x = $\dfrac{156}{2}$

⟼ 3x = 78

⟼ x = $\dfrac{78}{3}$

⟼ x = 26

Therefore the value of x is 26 Cm

so,

The breadth of the rectangle is 26Cm

The length of the rectangle is 2x =( 2 × 26 )cm = 52Cm.

Some Formullas :-

• To find the perimeter of a rectangle we use -

⟹ 2 ( length + breadth) units.

• To find the perimeter of a square we use -

⟹ (4 × Side ) units.

• To find the perimeter of a triangle we use -

⟹ (sum of all of its sides) units.