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