
Rectangle | What is Rectangle?
A quadrilateral having opposite sides equal and each angles
90° (right angle) is called a rectangle. Or, we can say, a rectangle is a
parallelogram with each angle 90°. So,
each rectangles are parallelograms but each parallelograms are not rectangles.
In the given figure of quadrilateral ABCD, opposite sides AB
= CD and AD = BC and each angles ∠A, ∠B, ∠C and ∠D are 90°. So ABCD is
a rectangle.
Length and breadth of a rectangle
The longer side of the rectangle is taken as length (l) and the
shorter side as breadth (b). In the given figure of rectangle ABCD,
Length
(l) = BC = AD
Breadth (b) = AB = CD
Diagonals of a rectangle
The line joining the opposite vertices of a quadrilateral is
called a diagonal. Two diagonals of a rectangle are equal and bisect to each other.
In the given figure of rectangle ABCD. AC and BD are diagonals.
They are equal and bisect to each other i.e. AC = BD and AO = CO, BO = DO.
Length of diagonal of a rectangle is given by the formula:
Perimeter and Area of Rectangle
Perimeter and area of a rectangle are given by the formula:
Perimeter
= 2(l + b)
Area
= l × b
Properties of Rectangle
1.
Opposite sides of a rectangle are equal.
2.
Each angle of a rectangle is 90°.
3.
Opposite sides of a rectangle are parallel.
4.
Diagonals of a rectangle are equal.
5.
Diagonals of a rectangle bisect to each other.
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