Carpet worksheet

1. Carpet to buy: 308 m²

1. Room 1: strips run along the width; 20 m ÷ 10 m roll, rounded up, is 2 strips, each 15.4 m long with trim

   $2\times \left(15+0.4\right)$$=30.8\text{\hspace{0.17em}m}$

2. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $30.8\times 10$$=308\text{\hspace{0.17em}m²}$

3. Pad: the floor area plus a 5% allowance for cutting around corners

   $300\times 1.05$$=315\text{\hspace{0.17em}m²}$

4. Carpet cost: area in yd² × price per yd²

   $368.3649\times \mathrm{\$26.00}$$=\mathrm{\$9,577.49}$

2. Carpet to buy: 360.8 ft²

1. Room 1: strips run along the width; 18 ft ÷ 11 ft roll, rounded up, is 2 strips, each 16.4 ft long with trim

   $2\times \left(16+0.4\right)$$=32.8\text{\hspace{0.17em}ft}$

2. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $32.8\times 11$$=360.8\text{\hspace{0.17em}ft²}$

3. Carpet is often priced by the square yard: divide by 9

   $\frac{360.8}{9}$$=40.088889\text{\hspace{0.17em}yd²}$

4. Pad: the floor area plus a 4% allowance for cutting around corners

   $288\times 1.04$$=299.52\text{\hspace{0.17em}ft²}$

5. Carpet cost: area in yd² × price per yd²

   $40.0889\times \mathrm{\$32.00}$$=\mathrm{\$1,282.84}$

3. Carpet to buy: 682.5 m²

1. Room 1: strips run along the length; 20 m ÷ 13 m roll, rounded up, is 2 strips, each 18.5 m long with trim

   $2\times \left(18+0.5\right)$$=37\text{\hspace{0.17em}m}$

2. Room 2: strips run along the width; 10 m ÷ 13 m roll, rounded up, is 1 strip, each 15.5 m long with trim

   $1\times \left(15+0.5\right)$$=15.5\text{\hspace{0.17em}m}$

3. Add the length needed from the roll for every room

   $37+15.5$$=52.5\text{\hspace{0.17em}m}$

4. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $52.5\times 13$$=682.5\text{\hspace{0.17em}m²}$

5. Pad: the floor area plus a 5% allowance for cutting around corners

   $510\times 1.05$$=535.5\text{\hspace{0.17em}m²}$

6. Carpet cost: area in yd² × price per yd²

   $816.2632\times \mathrm{\$30.00}$$=\mathrm{\$24,487.90}$

4. Carpet to buy: 232 ft²

1. Room 1: strips run along the width; 15 ft ÷ 8 ft roll, rounded up, is 2 strips, each 14.5 ft long with trim

   $2\times \left(14+0.5\right)$$=29\text{\hspace{0.17em}ft}$

2. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $29\times 8$$=232\text{\hspace{0.17em}ft²}$

3. Carpet is often priced by the square yard: divide by 9

   $\frac{232}{9}$$=25.777778\text{\hspace{0.17em}yd²}$

4. Pad: the floor area plus a 5% allowance for cutting around corners

   $210\times 1.05$$=220.5\text{\hspace{0.17em}ft²}$

5. Carpet cost: area in yd² × price per yd²

   $25.7778\times \mathrm{\$34.00}$$=\mathrm{\$876.44}$

5. Carpet to buy: 603 ft²

1. Room 1: strips run along the width; 17 ft ÷ 9 ft roll, rounded up, is 2 strips, each 16.5 ft long with trim

   $2\times \left(16+0.5\right)$$=33\text{\hspace{0.17em}ft}$

2. Room 2: strips run along the width; 8 ft ÷ 9 ft roll, rounded up, is 1 strip, each 12.5 ft long with trim

   $1\times \left(12+0.5\right)$$=12.5\text{\hspace{0.17em}ft}$

3. Room 3: strips run along the length; 8 ft ÷ 9 ft roll, rounded up, is 1 strip, each 14.5 ft long with trim

   $1\times \left(14+0.5\right)$$=14.5\text{\hspace{0.17em}ft}$

4. Room 4: strips run along the width; 10 ft ÷ 9 ft roll, rounded up, is 2 strips, each 3.5 ft long with trim

   $2\times \left(3+0.5\right)$$=7\text{\hspace{0.17em}ft}$

5. Add the length needed from the roll for every room

   $33+12.5+14.5+7$$=67\text{\hspace{0.17em}ft}$

6. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $67\times 9$$=603\text{\hspace{0.17em}ft²}$

7. Carpet is often priced by the square yard: divide by 9

   $\frac{603}{9}$$=67\text{\hspace{0.17em}yd²}$

8. Pad: the floor area plus a 5% allowance for cutting around corners

   $510\times 1.05$$=535.5\text{\hspace{0.17em}ft²}$

9. Carpet cost: area in yd² × price per yd²

   $67\times \mathrm{\$31.00}$$=\mathrm{\$2,077.00}$

6. Carpet to buy: 470 m²

1. Room 1: strips run along the length; 13 m ÷ 10 m roll, rounded up, is 2 strips, each 11.5 m long with trim

   $2\times \left(11+0.5\right)$$=23\text{\hspace{0.17em}m}$

2. Room 2: strips run along the length; 9 m ÷ 10 m roll, rounded up, is 1 strip, each 12.5 m long with trim

   $1\times \left(12+0.5\right)$$=12.5\text{\hspace{0.17em}m}$

3. Room 3: strips run along the width; 9 m ÷ 10 m roll, rounded up, is 1 strip, each 11.5 m long with trim

   $1\times \left(11+0.5\right)$$=11.5\text{\hspace{0.17em}m}$

4. Add the length needed from the roll for every room

   $23+12.5+11.5$$=47\text{\hspace{0.17em}m}$

5. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $47\times 10$$=470\text{\hspace{0.17em}m²}$

6. Pad: the floor area plus a 6% allowance for cutting around corners

   $350\times 1.06$$=371\text{\hspace{0.17em}m²}$

7. Carpet cost: area in yd² × price per yd²

   $562.1153\times \mathrm{\$28.00}$$=\mathrm{\$15,739.23}$

7. Carpet to buy: 291.2 m²

1. Room 1: strips run along the length; 13 m ÷ 13 m roll, rounded up, is 1 strip, each 13.7 m long with trim

   $1\times \left(13+0.7\right)$$=13.7\text{\hspace{0.17em}m}$

2. Room 2: strips run along the width; 10 m ÷ 13 m roll, rounded up, is 1 strip, each 8.7 m long with trim

   $1\times \left(8+0.7\right)$$=8.7\text{\hspace{0.17em}m}$

3. Add the length needed from the roll for every room

   $13.7+8.7$$=22.4\text{\hspace{0.17em}m}$

4. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $22.4\times 13$$=291.2\text{\hspace{0.17em}m²}$

5. Pad: the floor area plus a 6% allowance for cutting around corners

   $249\times 1.06$$=263.94\text{\hspace{0.17em}m²}$

6. Carpet cost: area in yd² × price per yd²

   $348.2723\times \mathrm{\$30.00}$$=\mathrm{\$10,448.17}$

8. Carpet to buy: 486 ft²

1. Room 1: strips run along the width; 12 ft ÷ 12 ft roll, rounded up, is 1 strip, each 18.5 ft long with trim

   $1\times \left(18+0.5\right)$$=18.5\text{\hspace{0.17em}ft}$

2. Room 2: strips run along the length; 12 ft ÷ 12 ft roll, rounded up, is 1 strip, each 11.5 ft long with trim

   $1\times \left(11+0.5\right)$$=11.5\text{\hspace{0.17em}ft}$

3. Room 3: strips run along the length; 12 ft ÷ 12 ft roll, rounded up, is 1 strip, each 10.5 ft long with trim

   $1\times \left(10+0.5\right)$$=10.5\text{\hspace{0.17em}ft}$

4. Add the length needed from the roll for every room

   $18.5+11.5+10.5$$=40.5\text{\hspace{0.17em}ft}$

5. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $40.5\times 12$$=486\text{\hspace{0.17em}ft²}$

6. Carpet is often priced by the square yard: divide by 9

   $\frac{486}{9}$$=54\text{\hspace{0.17em}yd²}$

7. Pad: the floor area plus a 5% allowance for cutting around corners

   $468\times 1.05$$=491.4\text{\hspace{0.17em}ft²}$

8. Carpet cost: area in yd² × price per yd²

   $54\times \mathrm{\$28.00}$$=\mathrm{\$1,512.00}$

9. Carpet to buy: 680 ft²

1. Room 1: strips run along the length; 16 ft ÷ 10 ft roll, rounded up, is 2 strips, each 13.5 ft long with trim

   $2\times \left(13+0.5\right)$$=27\text{\hspace{0.17em}ft}$

2. Room 2: strips run along the width; 15 ft ÷ 10 ft roll, rounded up, is 2 strips, each 11.5 ft long with trim

   $2\times \left(11+0.5\right)$$=23\text{\hspace{0.17em}ft}$

3. Room 3: strips run along the length; 9 ft ÷ 10 ft roll, rounded up, is 1 strip, each 12.5 ft long with trim

   $1\times \left(12+0.5\right)$$=12.5\text{\hspace{0.17em}ft}$

4. Room 4: strips run along the width; 10 ft ÷ 10 ft roll, rounded up, is 1 strip, each 5.5 ft long with trim

   $1\times \left(5+0.5\right)$$=5.5\text{\hspace{0.17em}ft}$

5. Add the length needed from the roll for every room

   $27+23+12.5+5.5$$=68\text{\hspace{0.17em}ft}$

6. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $68\times 10$$=680\text{\hspace{0.17em}ft²}$

7. Carpet is often priced by the square yard: divide by 9

   $\frac{680}{9}$$=75.555556\text{\hspace{0.17em}yd²}$

8. Pad: the floor area plus a 3% allowance for cutting around corners

   $531\times 1.03$$=546.93\text{\hspace{0.17em}ft²}$

9. Carpet cost: area in yd² × price per yd²

   $75.5556\times \mathrm{\$29.00}$$=\mathrm{\$2,191.11}$

10. Carpet to buy: 702 m²

1. Room 1: strips run along the length; 18 m ÷ 13 m roll, rounded up, is 2 strips, each 14.4 m long with trim

   $2\times \left(14+0.4\right)$$=28.8\text{\hspace{0.17em}m}$

2. Room 2: strips run along the length; 13 m ÷ 13 m roll, rounded up, is 1 strip, each 12.4 m long with trim

   $1\times \left(12+0.4\right)$$=12.4\text{\hspace{0.17em}m}$

3. Room 3: strips run along the length; 11 m ÷ 13 m roll, rounded up, is 1 strip, each 7.4 m long with trim

   $1\times \left(7+0.4\right)$$=7.4\text{\hspace{0.17em}m}$

4. Room 4: strips run along the width; 10 m ÷ 13 m roll, rounded up, is 1 strip, each 5.4 m long with trim

   $1\times \left(5+0.4\right)$$=5.4\text{\hspace{0.17em}m}$

5. Add the length needed from the roll for every room

   $28.8+12.4+7.4+5.4$$=54\text{\hspace{0.17em}m}$

6. Multiply the length off the roll by the roll width, because you pay for the full width of every strip

   $54\times 13$$=702\text{\hspace{0.17em}m²}$

7. Pad: the floor area plus a 5% allowance for cutting around corners

   $535\times 1.05$$=561.75\text{\hspace{0.17em}m²}$

8. Carpet cost: area in yd² × price per yd²

   $839.585\times \mathrm{\$22.00}$$=\mathrm{\$18,470.87}$