Question

a plain carpet 10m long and 6.5m wide has a border of width 75m along each of its sides find the total area of border

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Answer 1

Total area of carpet=(10*6.5)m^2
=65 m^2
Long of the carpet with border={10+(75*2)}m
=160m
Width of the carpet with border={6.5+(75*2)}m
=156.5m
Total area of the carpet with border
=(160*156.5)m^2=25040 m^2
Total area of border =(25040-65)m^2
=24975 m^2

Answer 2

Answer:

Answer:-

Given:

Length of a carpet = 10 m

Width of the carpet = 6.5 m

And , boarder of this carpet has a width of 75 cm = 75/100 = 7.5 m. [ ∵ 1 cm = 1/100 m ]

We have to find the area of the path.

We can say that,

Area of the carpet (with border) - Area of the carpet = Area of the border.

As , length > breadth ; the carpet is in a rectangular shape.

We know that,

Area of a rectangle = length * breadth

So,

⟶ (10 + 7.5)(6.5 + 7.5) - (10)(6.5) = Area of the border

⟶ (17.5)(14) - 65 = Area of the border

⟶ 245 - 65 = Area of the border

⟶ 180 m² = Area of the border