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Perimeter: Perimeter of a plane figure is the measure of the length of its boundary. The unit of perimeter is same as the unit of length i.e., centimeter (cm), meter (m), kilometer (km), etc….

Area: Perimeter of a plane figure is the measure of the region enclosed by it. The various units of measuring area are: 1 square cm (cm2), 1 square meter (m2), 1 hectare etc…….

Perimeter and Area:

1. Triangle: Let a, b, c denote the sides of a triangle then

Perimeter= a+b +c

The pointer of a triangle is generally denoted by 2S.

2S=a + b + c

S=1/2 (a + b + c)

Area: √s(s-a)(s-b)(s-c)

Also, Area=1/2*B*H

2. Equaivalent Triangle: For an equilateral, each of whose side is a, we have 1. Perimeter=3a

2. Height=√3/2a=√3/a*a2

3. Rectangle: For a rectangle of length =l and breadth=b we have

1. Perimeter=2(l+b)

2. Diagonal= √l2+b2

3. Area=l*b

Area of four walls= 2(l+b)*h

Square: For a square each of whose side is a, we have 1.Perimeter =4a

2. Diagonal=√2a

3. Area=a square= (side) square, Also, Area=1/2 (Diagonal) square

4. Parallelogram: * Perimeter=2 (sum of adjacent sides)

* Area= Base*Height

5. Rhombus: If all the sides of parallelogram are equal, it is called a Rhombus.

1. Sides=1/2√d1 square+d2 square

2. Perimeter=2√d1 square+d2 square

3. Are =1/2 d1d2

5. Trapezium: A trapezium is a Quadrilateral two of whose sides are parallel.

6. Quadrilateral: Area =1/2*(one diagonal)*(sum of the offset)

7. Regular Polygon: A polygon is a regular polygon if its all sides and all angles are equal.

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