Question

a flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm how much such tiles are required to cover the floor of area 100 metre square ​

Answer 1

ANSWER:-

Given:

•A flooring tiles has the shape of a parallelogram whose base is 24cm.

•The corresponding height is 10cm.

To find:

How much tiles are required to cover the floor of area 100m².

Solution:

•Base of the parallelogram = 24cm

We can convert in metres:

We know 1m= 100cm

therefore,

=) 1cm = 1/100m

=) 24cm= 24/100m = 0.24m.

•Corresponding height of the ||gm=10cm

=) 0.1m

According to the question:

•Area of parallelogram: Base × height

Area of the tile= 0.24m × 0.1m

Area of the tile= 0.024m²

Therefore,

•Area of the floor= 100m²

Now,

Number of tiles:

$= > \frac{Total \: area}{Area \: of \: one \: tiles} \\ \\ = > \frac{100}{0.024} \\ \\ = > \frac{100 \times 1000}{0.024 \times 1000} \\ \\ = > \frac{100000}{24} \\ \\ = > 4166.66 \: tiles$

Hence,

4167 (approx) tiles are required to cover the floor.

Thank you