Question

the ratio of two sides of w paralulogram 3:4if it's perimeter is57cm find the lengyof it's sides​

Answer 1

Required Answer :

The length of the sides of the parallelogram = 17.1 cm and 22.8 cm

Explanation :

Here, we are provided with the ratio of the two sides and the perimeter of the parallelogram. And we need to calculate the length of its sides. So, firstly we will assume the length of the sides of the parallelogram as any variable, according to the ratio given. And then by using the formula of perimeter of parallelogram we will calculate the value of the variable, consequently we will get the value of the sides of the parallelogram.

Formula of perimeter of parallelogram :

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

where,

• l denotes the length of the parallelogram
• b denotes the breadth of the parallelogram

Solution :

Let,

• The length of the parallelogram = 3x
• The breadth of the parallelogram = 4x

Using formula,

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

we have,

• Perimeter = 57 cm
• Length = 3x
• Breadth = 4x

Substituting the given values :

→ 57 = 2(3x + 4x)

→ 57 = 2(5x)

→ 57 = 10x

→ 57/10 = x

→ 5.7 = x

→ The value of x = 5.7

Substituting the value of x :

LENGTH :

→ Length of the parallelogram = 3x

→ Length of the parallelogram = 3(5.7)

→ Length of the parallelogram = 17.1 cm

BREADTH :

→ Breadth of the parallelogram = 4x

→ Breadth of the parallelogram = 4(5.7)

→ Breadth of the parallelogram = 22.8 cm

Therefore, the length of the sides of the parallelogram = 17.1 cm and 22.8 cm