* A flooring tile has the shape of a parallelogram whose base is 24 em 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).
Answers
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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Hope this will help you...