Question

a flooring tile has a shape of 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 1080m^2​

Answer 1

$\huge{\mathfrak{\purple{\underline{\orange{Given:-}}}}}$

• Base of parallelogram shape tile = 24cm
• Height of parallelogram shape tile = 10cm
• Area of floor = 1080m²

$\huge{\mathfrak{\red{\underline{\green{To\:Find:-}}}}}$

• Number of tiles required to cover the floor

$\huge{\mathfrak{\blue{\underline{\pink{Solution:-}}}}}$

Base of parallelogram shape tile = 24cm

Height of parallelogram shape tile = 10cm

$\large{\mathtt{\boxed{\color{aqua}{Area\:of\: parallelogram\:=\:Base × Height}}}}$

Substituting the value in the above formula, we get

$\mapsto{\bold{Area\:=\:24\:cm × 10\:cm}}$

$\large{\boxed{\color{yellow}{Area\:=\:240cm²}}}$

Now,

Area of floor = 1080cm²

Area of floor in cm² = 1080 × 10000

= 10800000cm²

$\large{\boxed{\mathtt{\color{coral}{Number\:of\:tiles\:=\: \frac{Area\:of\:floor}{Area\:of\:tile}}}}}$

Substituting the value in the above formula, we get

$\mapsto{\bold{Number\:of\:tiles\:=\: \frac{10800000cm²}{240cm²}}}$

$\mapsto{\bold{Number\:of\:tiles\:=\: \frac{\cancel{10800000cm²}}{\cancel{240cm²}}}}$

$\huge{\boxed{\mathtt{\color{lime}{Number\:of\:tiles\:=\:45,000}}}}$

Answer 2

Answer:

Area of parallelogram= b*h =24*10=240cm^2 = 0.024m^2

No. of tiles required = 1080/0.024=45000