Question

The adjacenr side of a rectangle are in ratio 5:4 and its perimeter is 126cm. Find the length of each of it sides​

Answer 1

Question:

The adjacenr side of a rectangle are in ratio 5:4 and its perimeter is 126cm. Find the length of each of it sides

To find:

• side 1

• side 2

Given:

• The adjacenr side of a rectangle are in ratio of 5:4

• The perimeter of rectangle = 126 cm

Let:

• Side 1 = 5x

• Side 2 = 4x

Solution:

As we know:

Perimeter of rectangle = 2(Length + Breadth)

and its given adjacent sides .°. let's suppose side 1 as length and side 2 as Breadth.

• Perimeter of rectangle = 2(Length + Breadth

put value of Perimeter and also of sides which we have supposed

• 126 = 2( 5x + 4x)

• 126 = 2(9x)

• 126/2 = 9x

• 63 = 9x

• x = 63/9

• x=7 cm

Now before finding values let's varify value of x

• 126 = 2( 5x + 4x)

put value of x in this equation

• 126 = 2 (5 × 7 + 4 × 7)

• 126 2(35 + 4×7)

• 126 = 2( 35+ 28)

• 126= 2×35 + 2×28

• 126 = 70 + 56

• 126=126

Hence verified!

Now Let's find values of sides

• Side 1 = 5x
• Side 1 = 5×7
• Side 1=35 cm

• Side 2= 4x
• Side 2=4×7
• Side 2=28 cm

Happy learning! :)

Answer 2

Given:-

• The adjacent side of a rectangle are in ratio 5:4.

• Perimeter of the rectangle is 126cm.

To Find:-

• Find the length of each of its sides.

Key concept:-

• Let's go through the concept here. Concept mentioned is Perimeter of a Rectangle.Substitute the given values by taking unknown number(x/y),Form an equation and solve it wisely.

Formulae Applied:-

• Perimeter of a Rectangle = 2(l + b)

Solution:-

Let the lengths of the rectangle be 5x and 4x

Given that!

Perimeter of the rectangle = 126cm

According to the question we have!

Perimeter of a Rectangle = 2(l + b)

⟹ 2(l + b)

⟹ 2(l + b) = 126

⟹ 2(5x + 4x) = 126

⟹ 2(9x) = 126

⟹ 2 × 9x = 126

⟹ 18x = 126

⟹ x = 126/18

⟹ x = 7

⟹ x = 7cm

Hence,

The value of x is 7cm.

Substitute the value of x in the lengths we had taken!

For 5x,

⟹ 5x

⟹ 5 × 7

⟹ 35

⟹ 35cm

For 4x,

⟹ 4x

⟹ 4 × 7

⟹ 28

⟹ 28cm

Therefore,

The length of each of its sides are 35cm and 28cm.

Verification:-

2(5x + 4x) = 126

x = 7

Substitute the value of x in the above equation!

⟹ 2[(5 × 7) + (4 × 7)] = 126

⟹ 2[35 + 28] = 126

⟹ 2[63] = 126

⟹ 2 × 63 = 126

⟹ 126 = 126

⟹ LHS = RHS

Hence,

It is verified.

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