The length of a rectangle is twice its breadth. If the perimeter of th

1.	The length of a rectangle is twice its breadth. If the perimeter of the rectangle is 27 cm, find its breadth and length
Answer» Given :- The length of a RECTANGLE = 2 × Breadth The perimeter of the rectangle = 27 cm To Find :- The length of the rectangle. The breadth of the rectangle. Analysis :- Consider the breadth as a variable and the length would be TWICE the length. Make an equation accordingly. Then find the value of the variable and substitute in the length as well. Solution :- We know that, l = Length b = Breadth p = Perimeter Let the breadth be 'x' and the length would be '2x'. By the formula, $\underline{\boxed{\sf Perimeter \ of \ rectangle=2(Length+Breadth)}}$ Given that, Perimeter (p) = 27 cm Breadth (b) = x Length (l) = 2x Substituting their values, = 2(2x + x) = 27 = 2(3x) = 27 = 6X = 27 Finding x, x = 27/6 x = 4.5 cm Breadth (b) = 4.5 cm Length 2x = 4.5 × 2 Length (l) = 9 cm Therefore, the length and breadth of the rectangle are 9 cm and 4.5 cm respectively.

The length of a rectangle is twice its breadth. If the perimeter of the rectangle is 27 cm, find its breadth and length

Answer»

The length of a RECTANGLE = 2 × Breadth

The perimeter of the rectangle = 27 cm

The length of the rectangle.

The breadth of the rectangle.

Consider the breadth as a variable and the length would be TWICE the length.

Make an equation accordingly.

Then find the value of the variable and substitute in the length as well.

We know that,

Let the breadth be 'x' and the length would be '2x'.

By the formula,

$\underline{\boxed{\sf Perimeter \ of \ rectangle=2(Length+Breadth)}}$

Given that,

Perimeter (p) = 27 cm

Breadth (b) = x

Length (l) = 2x

Substituting their values,

= 2(2x + x) = 27

= 2(3x) = 27

= 6X = 27

Finding x,

x = 27/6

x = 4.5 cm

Breadth (b) = 4.5 cm

Length 2x = 4.5 × 2

Length (l) = 9 cm

Therefore, the length and breadth of the rectangle are 9 cm and 4.5 cm respectively.