Question

the perimeter of a parallelogram is 130 CM if one of the sides is longer than the other by 5 centimetre ,find the length of its of its sides ​

Answer 1

Step-by-step explanation:

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Answer 2

Given :-

The perimeter of a parallelogram = 130 cm

One of the sides is longer than the other by = 5 cm

To Find :-

Length of the first side of the parallelogram.

Length of the second side of the parallelogram.

Analysis :-

Consider the two sides as variables.

Substitute the variables in the formula of the perimeter of rectangle and solve it accordingly.

Substitute the value of the variable in the two sides and get their values.

Solution :-

We know that,

• l = Length
• b = Breadth
• p = Perimeter

Let one side be 'x' then the other side would be 'x + 5'

By the formula,

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

Given that,

Length of the first side = x

Length of the second side = x + 5

Perimeter (p) = 130 cm

Substituting their values,

$\sf 130 = 2 [ x + (x +5) ]$

$\sf 130 = 2 (2x + 5 )$

$\sf 2x+5=\dfrac{130}{2}$

$\sf \sf 2x+5=65$

$\sf 2x=65-5$

$\sf 2x=60$

Finding the value of x,

$\sf x=\dfrac{60}{2}$

$\sf x=30$

Therefore, the value of x is 30.

Length of the first side = x = 30 cm

Length of the second side = x + 5

= 30 + 5 = 35 cm

Therefore, the length of it's sides are 30 cm and 35 cm respectively.