Question

the length of rectangle is thrice its breadth and its perimeter is 48 cm. find the length and breadth of the rectangle​

Answer 1

Answer:

length is 18cm and breadth is 6cm

Step-by-step explanation:

Let breadth be x ...so length becomes 3x

Perimeter: 2(l+b)

48 = 2(3x+x)

48 = 2(4x)

48/2 = 4x

24 = 4x

24/4 = x

6 = x

breadth = x = 6cm

length = 3x = 3×6 = 18cm

Hope this helps u

Answer 2

$\sf\huge\underline{Explanation :-}$

Given :

• Length of rectangle = Thrice it's breadth
• Perimeter of the rectangle = 48 cm.

To find :

• The length & breadth of the rectangle.

Solution :

Let the breadth of the rectangle be 'x'

.°. Length of rectangle = '3x'

We know that,

$\boxed{\sf Perimeter = 2(l + b)}$

$\sf\longrightarrow 2(l + b) = 48$

$\sf\longrightarrow 2(3x + x) = 48$

$\sf\longrightarrow 2(4x) = 48$

$\sf\longrightarrow 8x = 48$

$\sf\longrightarrow x = \dfrac{48}{8}$

$\sf\therefore x = 6$

Now,

Breadth of the rectangle => x = 6 cm.

& Length of the rectangle => 3x = 3 × 6 = 18 cm.

Hence, the length and breadth of the rectangle are 18 cm and 6 cm respectively.

$\sf\huge\underline{More \: formulas :-}$

• Area of rectangle = (l × b) sq. unit
• Dimension of rectangle = √l² + b² unit
• Area of square = (side)² sq.unit
• Perimeter of square = 4 × side unit
• Dimension of square = √2 × side unit