A flooring tile has the shape of a parallelogram

Asked by admin @ 11/08/2021 in Math viewed by 223 People

"Question 4 A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2? (If required you can split the tiles in whatever way you want to fill up the corners).

Class 8 Mensuration Page 171"

Answered by admin @ 11/08/2021

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.

==========================================================

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

==========================================================

Hope this will help you...

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