Question

(5) How many pieces of marbles, each measuring 5 cm by 5 cm, are required to
3
lay a path 13 m long and 9 m wide ​

Answer 1

Answer:

Correct Question

How many pieces of marbles, each measuring 5 cm by 5 cm, required to lay a path 13 m long and 9 m wide

To Find

Marble required

Solution

Here we first find area of both path and marble

$\sf \: As \: the \: sides \: are \: same \: of \: marble. \: \\ \sf \: therefore \: we \: will \: considered \: as \: square.$

$\sf \: area \: of \: square \: = {side}^{2}$

$\sf \: Area \: of \: marble \: = {5}^{2}$

$\sf \: Area \: of \: marble = 25 \: cm²$

Now,

Let's convert the length and breadth into cm.

$\sf \: As \: we \: know \: that$

$\huge \bf \: 1 \: m = 100 \: cm$

$\sf \: 13 \: m = 13 \times 100 = 1300 \: m$

$\sf \: 9 \: m = 9 \times 100 = 900 \: cm$

$\sf \: now \: lets \: find \: area \: of \: path$

$\sf \: Area \: of \: rectangle \: = l \times b$

$\sf \: Area \: of \: rectangle \: = 1300 \times 900$

$\sf \: Area \: of \: rectangle \: = 1170000²\: cm$

Now,

Let's find Marble required

$\boxed { \bf Total \: marble = \frac{Area \: of \: path}{Area \: of \: marble}}$

$\sf \: Total \: marble \: = \dfrac{1170000}{25}$

$\sf \: Total \: marble \: = 46800$

$\huge \bf \therefore \: Total \: marble \: = 46800$