Question

In which shape pen is In Geometrical shapes chapter

Answer 1

Answer:

Given that, A hall measures 16 m by 12 m.

It means,

Length of hall = 16 m

Breadth of hall = 12 m

We know, Area of rectangle is given by

\begin{gathered}\boxed{\rm{ \:Area_{(Rectangle)} \: = \: Length \times Breadth \: }} \\ \end{gathered}

Area

(Rectangle)

=Length×Breadth

So, on substituting the values, we get

\begin{gathered}\rm \: Area_{(hall)} \: = \: 16 \times 12 \\ \end{gathered}

Area

(hall)

=16×12

\begin{gathered}\rm\implies \:Area_{(hall)} = 192 \: {m}^{2} \\ \end{gathered}

⟹Area

(hall)

=192m

2

Now, Side of square tile = 25 cm = 0.25 cm

We know, Area of square is given by

\begin{gathered}\boxed{\rm{ \:Area_{(square)} \: = \: {(side)}^{2} \: \: }} \\ \end{gathered}

Area

(square)

=(side)

2

So, On substituting the value, we get

\rm \: Area_{(1 \: tile)} \: = \: {(0.25)}^{2}Area

(1tile)

=(0.25)

2

\begin{gathered}\rm\implies \:\rm \: Area_{(1 \: tile)} \: = \: 0.0625 \: {m}^{2} \\ \end{gathered}

⟹Area

(1tile)

=0.0625m

2

Now, we have to find the number of tiles to be paved on the floor of rectangular hall.

So,

\begin{gathered}\rm \: Number \: of \: tiles \: = \dfrac{Area_{(hall)}}{Area_{(1 \: tile)}} \\ \end{gathered}

Numberoftiles=

Area

(1tile)

Area

(hall)

\begin{gathered}\rm \: = \: \dfrac{192}{0.0625} \\ \end{gathered}

=

0.0625

192

\begin{gathered}\rm \: = \: \dfrac{192 \times 10000}{625} \\ \end{gathered}

=

625

192×10000

\begin{gathered}\rm \: = \: 192 \times 16 \\ \end{gathered}

=192×16

\begin{gathered}\rm \: = \: 3072 \\ \end{gathered}

=3072

Hence,

\begin{gathered}\rm\implies \:\boxed{\rm{ \:\rm \: Number \: of \: tiles \: = 3072 \: \: }} \\ \end{gathered}

⟹

Numberoftiles=3072