Question

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.

Answer 1

`Area = 49(25)/(36)`

Explanation:

Given

Tile

`Length = 4(5)/(6)`

`Width = 2(1)/(3)`

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

`Length = 12(1)/(4)`

`Width = 5`

Calculate Area

`Area = Length * Width`

`Area = 12(1)/(4) * 5`

`Area = 61(1)/(4)`

The area of the tiles is:

`Area = 4(5)/(6) * 2(1)/(3)`

`Area = (29)/(6) * (7)/(3)`

`Area = (203)/(18)`

`Area = 11(5)/(18)`

So, the carpet area is:

`Area = Floor\ Area - Tile\ Area`

`Area = 61(1)/(4) - 11(5)/(18)`

To improper number

`Area = (245)/(4) - (208)/(18)`

Take LCM

`Area = (2205 - 416)/(36)`

`Area = (1789)/(36)`

`Area = 49(25)/(36)`