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# The breadth of a rectangle is equal to its length. If the perimeter of the rectangle is $88\ cm$, find its dimensions.

**Given:** The breadth of a rectangle is equal to its length. If the perimeter of the rectangle is $88\ cm$.

**To do: **To find its dimensions.

**Solution:**

As given, the breadth of a rectangle is equal to its length.

Therefore it is a square.

Let $a$ be the side of the given shape.

$\therefore$ Perimeter of the square$=4a=88$ [Given perimeter$=88\ cm$]

$\Rightarrow a=\frac{88}{4}$

$\Rightarrow a=4\ cm$.

Thus, the given shape is a square with $4\ cm\times4\ cm$ dimensions.

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