Question

The floor of a building consists of around 3000 tiles which are rhombus shaped and each of its diagonals are 45cm and 30cm in length . Find the total cost of flooring if each tile cost rs.20per metre square

Answer 1

$\underline{\textbf{Hey Mate Here Is Your Answer }}$

$\underline{\textbf{Given That ..}}$

A Floor Of A Building Consists 3000 Tiles Each Of Rhombus Shaped And It's Also Given That Each Rhombus

Shaped Tile Have Diagonal Equal To 45cm And 30cm , Now We Need To Find Cost Of Flooring If It Costs ₹20

Per Metre Square ..

So Now Let's Move For Solution ..

$\underline{\textbf{Solution..}}$

Now It's Said That Tiles Are In The Shape Of Rhombus

So Now We Know That

$\boxed{\mathbf{Area\: Of \:A \:Rhombus\: =\: \frac{1}{2} \times\: (d1 \:\times \:d2)}}$

Where d1 and D2 Are The Diagonals

Now By Question Let ,

$\textbf{D1 = 45cm }$

$\textbf{D2= 30cm }$

Therefore Now Putting This Value In Formula We Have ➡️

$\large{\mathbf{Area\: Of\: Rhombus \:= \:\frac{1}{2}\: \times 45cm\: \times \:30cm }}$

That Is ➡️

$\mathbf{Area \:Of \:Tiles\: =\: \frac{1}{2}\: \times \:1350 }$

$\therefore$ $\boxed{\mathbf{Area\: Of\: One\: Tile\: =\: 675{cm}^{2}}}$

Now We Have Area Of One Tile Of Floor = 675 cm^2

$\mathbf{Therefore \:Area \:Of \:Whole \:Floor\: = \:Area \:Of\: One\: Tile\: \times \:Total\: Number \:of \:Tiles }$

So That Is ..

$\mathbf{Area\: Of\: Whole\: Floor\: = \:675{cm}^{2}\: \times 3000}$

That Is

$\mathbf{Area\: Of \:Floor\: =\: 2025000{cm}^{2}}$

Now We Know That

$\mathbf{ 1 \:{m}^{2} \:=\: 100cm\: \times\: 100cm}$

Therefore

$\boxed{\mathbf{Area\: Of \:Floor\: = \:2025000{cm}^{2}\longrightarrow \:202.5{m}^{2}}}$

Now

$\mathbf{Cost \:For\: Flooring: Per \:m^2 \:= \:20rs}$

$\therefore$ $\mathbf{Cost \:Of \:Flooring \:Whole\: Floor \:=\: 202.5{m}^{2} \:\times \:20\: =\underline{4050 Rs}}$

$\underline{\textbf{Hence The Required Answer Is}}$

$\boxed{\boxed{\mathbf{4050rs}}}$

$\large{\blue{Thanks..}}$

$\large{\red{Be\: Brainly..}}$

Answer 2

Answer:

4050

Step-by-step explanation:

area of rhombus = 1/2 × (D1 × D2)

D1 = 45cm

D2 = 30cm

area of rhombus = 1/2 × 45 × 30

area of tiles = 1/2 × 1350

area of one tile = 675 cm square

625 × 30005

2025000cm.square

cost of flooring = 202.5 metre square × 20 = 4050