Tuesday 28 February 2012

Formulas for measurement

In the previous post we have discussed about Problems in measurements and In today's session we are going to discuss about Formulas for measurement.
Formulas for measurement
There are different shapes for which measurement formula is applied
Shape 1 Rectangle Measurement is done in the form of Area and Perimeter


Properties of rectangle:

In a  angle right angle triangle and lines are parallel to each other. Opposite sides are equal to each other .In the above figure L=Length and B=Breadth
Rectangle:
Area = Length X Breadth
A = L*B

Perimeter = 2 X Lengths + 2 X Breadth
P = 2L + 2B
P=2(L+B)
Shape 2:

In  the parallelogram opposite sides are equal a , b are the length of the two sides with the height as H where comes the 90 degree angle

Parallelogram Area:
Area = Base X Height
A = b*h


Shape 3
The triangle have three sides  a , b , c  with a height ‘h’ and b as base
Triangle
Area = 1/2 of the base X the height
a = 1/2 (B*H)
Perimeter = a + b + c
(add the length of the three sides)
 Learn Formulas for measurement with the help of examples

Examples: Find the area and perimeter of a rectangle with sides 4cm, 2cm?
Solution: Area =Length * breadth
Area = 4 * 2
Area =8 cm2
Perimeter=2(L+B)
P=2(4+2)
P=2*6
P=12 cm

Example: Find the area of the parallelogram where base =3 cm and height =8cm?
Solution: Area =Base * height
Area =3* 8
Area =24 cm2

 (know more about icse board, here)

Example :Find the area and perimeter of the triangle with Dimensions in centimetres  (3 , 4 , 6) and height as 3cm ?
Solution : Area = 1/2 of the base X the height
a = 1/2 (4*3)
Area =12/2
Area =6 cm2

Perimeter = a + b + c
P= 3+4+6
P=13 cm

Example: Find the length of a rectangle where area is 24cm2 and breadth is 4 cm ?
Solution : Area =L*B
24=L*4
6cm =L

Example :Find the height of a triangle where base is 5 m and area is 35 m2?
Solution :  Area =(b*h)/2
35= (5*h)/2
70=5*h
14m=h

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