Question

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).
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Answer 1

Step-by-step explanation:

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...

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Answer 2

Total area of room = 1080m²

Base of "one" tile = 24cm

Height of "one" tile = 10cm

Area of "one" tile = Base×height

$\huge\purple{24 \times 10}$

$\huge\purple{240 {cm}^{2} }$

$\huge\purple{0.024 {m}^{2} }$

$\red{no. \: of \: tiles \: = \frac{area \: of \: room}{area \: of \: one \: tile} }$

$\huge\orange{ \frac{1080}{0.024} }$

$\pink{so... \: 45000 \:tiles \: are \: needed }$