Question

The length of a rectangularcarpet is three times its width. If the width is 23m, find its area. Also find the cost of cleaning the carpet at the rate of Rs. 8 per sq. m.

Answer 1

Given

• Length $\mapsto$ 3 × width = 69m

• Breadth $\mapsto$ 23m

• Rate of each carpet $\mapsto$ ₹8 per $\sf{m}^{2}$

To find

• We have to find Area and the cost of cleaning carpet.

Solution

${ \underline{ \underline{ \boxed{ \bf{Understanding \: the \: question}}}}}$

In the given Question it has given the width which means Breadth only and it has given that the Length is 3 times of its breadth So, we know that we just have to multiply $\sf{3 \sf\green\times 23m}$ the given width with the number of times in length so the Length is 69m and it also has given to find the Area we will use formula after finding the area we will find the cost of cleaning the carpet.

$\underline{\bf\purple{\dag}\: {\red{\mathfrak{As \ we \ that\: :}}}}$

$\;\boxed{\sf{\purple{Area_{\:(rectangle)} = Length \times Breadth}}}$

⠀⠀⠀⠀$: \implies$ 69m × 23m

⠀⠀⠀⠀$: \implies$ ${ \boxed{ \underline{\underline{\mathfrak{\green{Area \leadsto 1,587}}}}}}$

Now, we have to find the cost of the carpet at a rate of ₹8 per $\sf{m}^{2}$

⠀⠀⠀⠀$: \implies$ 1,587m × ₹8 per $\sf{m}^{2}$

⠀⠀⠀⠀$: \implies$ ${ \boxed{ \underline{\underline{\mathfrak{\pink{Rate \leadsto ₹12,696}}}}}}$

•°• Hence, verified! that the Area is 1,587 and the Rate is ₹12,696

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Answer 2

$\bf\blue{Question:-}$

The length of a rectangularcarpet is three times its width. If the width

is 23m, find its area. Also find the cost of cleaning the carpet at

the rate of Rs. 8 per sq. m.

$\bf\pink{Answer:-}$

Given :-

Length of the carpet = 3 × width.

Width of the carpet   = 23 m.

Cost of cleaning 1 sq. m of the carpet = Rs.8

To find :-

The area of the rectangular carpet = ??

Cost of cleaning the carpet = ??

Solution :-

⇒ Length = 3 × width.

⇒ Width = 23 m.

⇒ Length = 3 × 23 m.

            = 69 m.

⇒ Area = Length × Breadth

       ∴ Carpet is a rectangular one.

⇒  Area of the carpet = 1,587 m ^ 2.

Cost of cleaning the carpet

→ Cost of cleaning the carpet per sq. m = Rs. 8

→ Area = 1,587 m^2.

→ Cost of cleaning the carpet = Area × 8.

→ 1,587 m^2 × 8

→ Rs. 12,696

All done!! :D