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Perimeter And Area Of Plane Figures | Perimeter And Area Of Plane Figures Exercise 15B

Question 10

A room 4.9 m long and 35 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at ₹ 80 per meter.

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Length of room = 4.9 m

Breadth of room = 3.5 m

Margin = 25 cm = 0.25 m

Breadth of carpet = 80 cm = 0.8 m

Cost = ₹ 80 per meter

Now,

Length to be carpeted = 4.9 m - (0.25 + 0.25) m = 4.4 m

Breadth to be carpeted = 3.5 m - (0.25 + 0.25) m = 3 m

Therefore,

Area to be carpeted = Length to be carpeted X Breadth to be carpeted

= 4.4 × 3

= 13.2 m^2

Area of carpet = Area to be carpeted = 13.2 m^2

Now,

Lengthof carpet = (area of carpet) / (breadth of carpet) = 13.2/0.8 = 16.5

Length of carpet is 16.5 m

Now,

Cost of 1 m carpet = ₹ 80

Therefore,

Cost of 16.5 m carpet = ₹ 80 × 16.5 m = ₹1,320

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Question 10

A room 4.9 m long and 35 m broad is covered with carpet, leaving an uncovered margin of 25 cm all around the room. If the breadth of the carpet is 80 cm, find its cost at ₹ 80 per meter.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Length of room = 4.9 m

Breadth of room = 3.5 m

Margin = 25 cm = 0.25 m

Breadth of carpet = 80 cm = 0.8 m

Cost = ₹ 80 per meter

Now,

Length to be carpeted = 4.9 m - (0.25 + 0.25) m = 4.4 m

Breadth to be carpeted = 3.5 m - (0.25 + 0.25) m = 3 m

Therefore,

Area to be carpeted = Length to be carpeted X Breadth to be carpeted

= 4.4 × 3

= 13.2 m^2

Area of carpet = Area to be carpeted = 13.2 m^2

Now,

Lengthof carpet = (area of carpet) / (breadth of carpet) = 13.2/0.8 = 16.5

Length of carpet is 16.5 m

Now,

Cost of 1 m carpet = ₹ 80

Therefore,

Cost of 16.5 m carpet = ₹ 80 × 16.5 m = ₹1,320

Our top 5% students will be awarded a special scholarship to Lido.

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