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**The perimeter of a rectangle**: The perimeter is the total distance around the outside, that can be created by adding together the length and the breadth of each side.

Let us consider a rectangle \(ABCD\) of length '\(l\)' units and breadth '\(b\)' units.

The perimeter of the rectangle is therefore as follows:

Perimeter(\(P\)) \(=\) \((AB + BC + CD + DA)\) units.

\(P =\) \(( l + b + l + b )\) units.

\(P =\) \((2l + 2b)\) units.

\(P =\) \(2 (l + b)\) units.

Thus, the length of the rectangle given its perimeter is \(l = P/2 - b\) units.

And, the breadth of the rectangle given its perimeter is \(b = P/2 - l\) units.

**Area of rectangle**: The area of a rectangle is given by multiplying the length and the breadth.

Let us consider a rectangle \(ABCD\) of length '\(l\)' units and breadth '(b\)' units.

Therefore, the area of the rectangle is as follows:

Area (\(A\)) \(=\) length \(l\) \(×\) breadth \(b\).

Thus, the length of the rectangle given its area is \(l = A/b\) units.

And, the breadth of the rectangle given its area is \(b = A/l\) units.

**Diagonals f rectangle**: A rectangle has two diagonals they are equal in length and intersect in the middle. The diagonal is the square root of (length squared + breadth squared).

Diagonal \((d) =\) $\sqrt{{l}^{2}+{b}^{2}}$.

Where '\(l\)' and '\(b\)' is the length and breadth of the rectangle.