Question

a rectangular hall is 22 M long and 15.5 M broad a carpet is laid inside the hall leaving all around the margin of 75 cm from the walls find the area of the carpet and the area of the strip left uncovered of if the width is of the carpet is 82 cm find the cost @ 124 per metre
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Answer 1

Area of carpet to be covered=Area of wall-Area of margin

2200×1550-75 ×75

=3404375cm2=

3404375/82 = 41,516cm-- Length

So cost= 124/100×41516= 51,479

Answer 2

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A rectangular hall is 22 M long and 15.5 M broad a carpet is laid inside the hall leaving all around the margin of 75 cm from the walls find the area of the carpet and the area of the strip left uncovered of if the width is of the carpet is 82 cm find the cost 124 per metre.

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Given that:-

• Length of rectangular hall = 22 m

• Breadth of rectangular hall = 15.5 m

• Margin of carpet = 75 cm

• Width of carpet = 82 cm.

• Cost of fencing = Rs. 124 per meter

To find:-

• Total cost of fencing.

(From the question above, we know that: )

Area of rectangular hall = length × breadth

⇒ = 22 × 15.5

⇒ = 341 m²

⇒ Length of carpet = (Length of rectangular hall - 2 × 0.75)

⇒ Length of carpet = (22 - 2 × 0.75)

⇒ = (22 - 1.5)

⇒ = 20.5 m

⇒ Breadth of carpet = (Breath of rectangular hall - 2 × 0.75)

⇒ Breadth of carpet = (15.5 - 2 × 0.75)

⇒ = (15.5 - 1.5)

⇒ = 14 m

Area of carpet:-

Area of carpet = Length × Breadth

⇒ = 20.5 × 14

⇒ = 287 m²

[Left area = Area of hall - Area of carpet]

⇒ = 341 m² - 287 m²

⇒ = 54 m²

⇒ Length of 1 m of carpet = 1 m × 0.82 m

⇒ = 0.82 m²

⇒ 287/0.82 = 350 m of carpet.

Now, cost of fencing of carpet = Rs. 124 per meter.

So, cost of fencing on 350 m of carpet = Rs. 124 × 350

= Rs. 43400

Hence, total cost of fencing of carpet = Rs. 43400

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