Question

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.​

Answer 1

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 = 0.75 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 + 0.75)(6.5 + 0.75) - (10)(6.5) = Area of the border

⟶ (10.75)(7.25) - 65 = Area of the border

⟶ 78 - 65 = Area of the border

⟶ 13 m² = Area of the border

Answer 2

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