Question

The perimeter of a rectangle is the same as the perimeter of a square. If the side length of the square is 40 units and the length of the rectangle is 20 units, find the breadth of the rectangle.

Answer 1

So the breadth is 60 units.

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Answer 2

Given:

• Perimeter of Rectangle is same as of a given square
• Side length of square = 40 unit
• Length of Rectangle = 20 unit

To Find:

• We have to find the breadth of given rectangle

Formula Used:

$\boxed{\sf{\green{Perimeter \: of \: Rectangle = 2 \: (Length + Breadth) }}}$

$\boxed{\sf{\green{Perimeter \: of \: Square = 4 \times Side }}}$

Solution:

Let the Breadth of Rectangle = x unit

We know that , Perimeter of Rectangle is equal to the Perimeter of Square

$\boxed{\sf{Perimeter \: of \: Rectangle = Perimeter \: of \: Square}}$

$\longrightarrow \sf{2 \: (Length + Breadth) = 4 \times side}$

Putting the required values in above equation

$\longrightarrow \sf{2 \: (20 \: + \: x ) = 4 \times 40}$

$\longrightarrow \sf{40 + 2x = 160}$

$\longrightarrow \sf{ 2x = 160 - 40}$

$\longrightarrow \sf{2x = 120}$

$\longrightarrow \sf{x = \dfrac{120}{2}}$

$\longrightarrow \underline{\boxed{\sf{x = 60}}}$

The value of x comes out to be 60 unit.

$\underline{\boxed{\sf{\blue{Breadth \: of \: Rectangle = 60 \: unit }}}}$