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Question

A flooring tile has the shape of a parallegrom  whos base is 24 cm and the corresponding height is 10 cm . How many such tiles are required to cover a floor of area 1080msquare 


Solution

Mensuration:

Mensuration is the branch of mathematics
which concerns itself with the measurement of Lengths, areas & volume of
different geometrical shapes or figures.



Plane Figure: A figure which lies in a
plane is called a plane figure.

For e.g: 
a rectangle, square, a rhombus, a parallelogram, a trapezium.

 

Perimeter:

The perimeter of a closed plane curve is
the total length of the curve.

Unit of perimeter is a unit of length.



Area: the area of the plane figure is the
surface enclose by its boundary.

A square centimetre (cm²) is generally
taken at the standard unit of an area. We use square metre (m²) also for the
units of area.

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Solution:

Given : base= 24 cm

Height= 20 cm

Area of floor= 1080 m²= 1080×100×100cm²

[1m²= 10000cm²]

 Area of the Parallelogram = base x
height



= 24 x 10 = 240 cm²

Area of 
1 tile = 240 cm²

[Tiles are in the shape of a parallelogram]



  Number of tiles required= Area of the
Floor/Area of the Tiles



= 1080 X100 X100/240  =45000

Number of tiles required to cover a Floor=45000

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