The length of a conference room is one and a half times its width. There is a carpet in the
centre of the room. The length of the carpet is twice its width. This leaves a 3m wide
border around the edges of the carpet. Find the area of the carpet.

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

Let the width of the room w = x m

and the length, L = 1.5x

Length of carpet + 6 = length of room

2(x-6)+6=1.5x

2x-12+6=1.5x

0.5x=6

x = 6 / 0.5

x = 12

length of room x = 12 m

width of room = 18 m

18-6 by 12-6 = 12 by 6 dimensions of carpet

Area of carpet = 12 X 6=72 m²

Thus, the Area of carpet for the given dimension is 72m².

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The length of a conference room is one and a half times its width. There is a carpet in the centre of the room. The length of the carpet is twice its width. This leaves a 3m wide border around the edges of the carpet. Find the area of the carpet.

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What is Area of rectangle?

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The length of a conference room is one and a half times its width. There is a carpet in the
centre of the room. The length of the carpet is twice its width. This leaves a 3m wide
border around the edges of the carpet. Find the area of the carpet.