Question

The area of Rectangle is 450cm square if the length is 30cm find its Breadth also find perimeter​

Answer 1

Answer :-

Breadth = 9cm

Perimeter = 78cm

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Given :-

• Area of Rectangle = 450cm²
• Length = 30cm

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To Find :-

• The Breadth of Rectangle and the Perimeter of Rectangle.

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Step By Step Solution :-

As we know,

Area of Rectangle = Length × Breadth

$= > 450 {cm}^{2} = 30 \times breadth \\ \\ = > \cancel \dfrac { 450}{30} = breadth \\ \\ = > breadth = 9 \: cm$

Now,

Perimeter of Rectangle = 2 (Length + Breadth)

Perimeter

$= > 2(9 + 30) \\ \\ = > 2 \times 39cm \\ \\ = > 78 \: cm$

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Formula Used :-

• Area of Rectangle = Length × Breadth

• Perimeter of Rectangle = 2 ( Length + Breadth )

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Extra Information :-

• Perimeter of Square = 4 × Side
• Area of Square = Side ²
• Perimeter of Rectangle = 2(L +B)
• Area of Rectangle = Length × Breadth

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Answer 2

Required Answer :

$\large\sf{\texttt{{{Given}}}}$

• Area of the Rectangle = 450 cm²

• Area of Rectangle = Length × Breadth

• Length of the Rectangle = 30 cm

$\large\sf{\texttt{{{To\: \: Find}}}}$

• Breadth of the Rectangle

• Length of the Rectangle

$\large\sf{\texttt{{{Formula\: \: Used}}}}$

• Breadth of Rectangle = Area ÷ Length

• Perimeter of Rectangle = 2 × ( Length × Breadth )

$\large\sf{\texttt{{{Solution}}}}$

To find the Breadth of the Rectangle, we will be using the Formula, Breadth of Rectangle = Area ÷ Length, so let's do it!

Breadth of the Rectangle = Area ÷ Length

Breadth of the Rectangle = 450 ÷ 30

Breadth of the Rectangle = 15 cm

∴ Breadth of the Rectangle is 15 cm

Let's verify the Breadth once, by using the Formula, Area of Rectangle = Length × Breadth!

Area of Rectangle = Length × Breadth

Area of Rectangle = 30 × 15

Area of Rectangle = 450 cm²

Hence, Verified

Now, let's find out the Perimeter of the Rectangle as we have both, the Length and the Breadth of the Rectangle!

Perimeter of Rectangle = 2 × ( Length + Breadth )

Perimeter of Rectangle = 2 × ( 30 + 15 )

Perimeter of Rectangle = 2 × 45

Perimeter of Rectangle = 90 cm

∴ Perimeter of the Rectangle is 90 cm

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Important Formulas :

Perimeter of Square = 4 × side

Perimeter of Rectangle = 2 × ( Length + Breadth )

Perimeter of Triangle = Sum of all sides

Area of Square = side × side

Area of Rectangle = Length × Breadth

Volume of Cube = side × side × side

Volume of Cuboid = Length × Breadth × Height

Note : We can also write the formula Area of Square = side × side as Area of Square = ( side )² and Volume of Cube = side × side × side as Volume of Cube = ( side )³

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