Ex.11.1 Q4 Mensuration Solutions - NCERT Maths Class 8

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Question

A flooring tile has the shape of a parallelogram whose base is $$24 \rm\,cm$$ and the corresponding height is $$10 \rm\,cm.$$ How many such tiles are required to cover a floor of area $${\rm{1080}}\,\,{{\rm{m}}^2}$$? (If required you can split the tiles in whatever way you want to fill up the corners).

Video Solution
Mensuration
Ex 11.1 | Question 4

Text Solution

What is Known?

Shape of the tile and its dimensions.

What is unknown?

Number of tiles that are required to cover a floor of area$$=$$$$1080\,\,{{\rm{m}}^2}$$

Reasoning:

Shape of the tile is parallelogram and its area can be found easily.

Area of parallelogram $$=$$ Base $$\times$$ Height

Steps:

Area of parallelogram

\begin{align} &= \text{base}\times \text{height} \\ &=24\,\text{cm}\times 10\,\text{cm}\\&=240\,\text{c}{{\text{m}}^{2}}\end{align}

Hence the area of one tile $$= 240\,{\rm{c}}{{\rm{m}}^2}$$

Area of the floor $$= 1080{{\rm{m}}^2}\,\,\left( {{\rm{given}}} \right)$$
$$\therefore$$ Required number of tiles \begin{align} = \frac{{{\text{Area of the floor}}}}{{{\text{Area of one tile}}}}\end{align}

\begin{align}& =\frac{1080\,{{\text{m}}^{2}}}{240\,\,\text{c}{{\text{m}}^{2}}} \\ & =\frac{(1080\!\times \!10000){{\text{cm}}^{2}}}{240\text{c}{{\text{m}}^{2}}}\\&(\because 1\,\text{m }\!\!=\!100\,\text{cm}) \\ & =45000\,\,\,\text{tiles} \\\end{align}

Thus,$$45000$$ tiles are required to cover a floor of area $$1080 \rm{m^2}$$

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