Question

A room is 20 metre long and 18 metre broad.Find the cost of carpeting the room with a carpet of width 1.5 m at the rate of₹60 per metre​

Answer 1

Required Answers :-

$\large{ \underline{ \frak \color{blue}{Given : - }}}$

• The room is 20m long and 18m broad.

• Length of 1.5m width is at the rate of ₹60 per metre.

$\large{ \underline{ \frak{ \red{To \: find : - }}}}$

• the cost of carpeting the room with a carpet of width 1.5 m at the rate of₹60 per metre.

$\large{ \underline{ \frak{ \pink{Solution : - }}}}$

$\large{ \boxed{ \rm{ \red{As \: we \: know \: that, \: }}}} \star$

$\large \rm{ \orange{Area \: of \: rectangle = \red{length \: \times \: breadth}}}$

$\large \sf \dashrightarrow{Area \: of \: the \: room \: = (20 \times 18) {m}^{2}}$

$\large{ \underline{ \boxed{ \rm{ \red{ = 360 \: {m}^{2}}}}}} \star$

Let the breadth of the carpet be 'x' m.

$\rm \dashrightarrow \purple{length \: of \: the \: carpet \times breadth \: of \: the \: carpet \: = area \: of \: the \: room}$

$\rm \red{ \dashrightarrow{length \: of \: the \: carpet \times 1.5 = 360m}}$

$\large \sf \ = \frac{360}{1.5}$

$\large{ \underline{ \boxed{ \orange{ \rm{ = 240m}}}}} \star$

Cost of carpeting = Length of the carpet × cost per metre.

$\large \rm \dashrightarrow{ = 240 \times 60}$

$\large{ \underline{ \boxed{ \pink{ =₹14400}}}} \star$ (ans)

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