Square Footage worksheet

1. Total area: 104 m²

1. Find the area of section 1 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{16\times 13}{2}$$=104\text{\hspace{0.17em}m²}$

2. Add 8% extra for offcuts and mistakes, so you buy enough material

   $104\times 1+0.08$$=112.32\text{\hspace{0.17em}m²}$

3. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{112.32\text{\hspace{0.17em}m²}}{0.09290304}$$=\mathrm{1,209.002418}\text{\hspace{0.17em}ft²}$

4. Multiply the area including waste by the price per ft²

   $\mathrm{1,209.002418}\times \mathrm{\$2.60}$$=\mathrm{\$3,143.41}$

2. Total area: 240 m²

1. Find the area of section 1 by multiplying its length by its width

   $14\times 10$$=140\text{\hspace{0.17em}m²}$

2. Find the area of section 2 by multiplying its length by its width

   $10\times 10$$=100\text{\hspace{0.17em}m²}$

3. Add up the sections to get the total area

   $140+100$$=240\text{\hspace{0.17em}m²}$

4. Add 8% extra for offcuts and mistakes, so you buy enough material

   $240\times 1+0.08$$=259.2\text{\hspace{0.17em}m²}$

5. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{259.2\text{\hspace{0.17em}m²}}{0.09290304}$$=\mathrm{2,790.00558}\text{\hspace{0.17em}ft²}$

6. Multiply the area including waste by the price per ft²

   $\mathrm{2,790.00558}\times \mathrm{\$3.40}$$=\mathrm{\$9,486.02}$

3. Total area: 302.99 ft²

1. Find the area of section 1 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{12}{2}\right)}^2$$=113.097336\text{\hspace{0.17em}ft²}$

2. Find the area of section 2 by multiplying its length by its width

   $14\times 7$$=98\text{\hspace{0.17em}ft²}$

3. Find the area of section 3 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{9}{2}\right)}^2$$=63.617251\text{\hspace{0.17em}ft²}$

4. Find the area of section 4 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{6}{2}\right)}^2$$=28.274334\text{\hspace{0.17em}ft²}$

5. Add up the sections to get the total area

   $113.097336+98+63.617251+28.274334$$=302.988921\text{\hspace{0.17em}ft²}$

6. Add 9% extra for offcuts and mistakes, so you buy enough material

   $302.988921\times 1+0.09$$=330.257924\text{\hspace{0.17em}ft²}$

7. Turn the area into square meters: one square ft is 0.09290304 m²

   $302.988921\times 0.09290304$$=28.148592\text{\hspace{0.17em}m²}$

8. Multiply the area including waste by the price per ft²

   $330.257924\times \mathrm{\$2.80}$$=\mathrm{\$924.72}$

4. Total area: 225.54 yd²

1. Find the area of section 1 by multiplying its length by its width

   $11\times 9$$=99\text{\hspace{0.17em}yd²}$

2. Find the area of section 2 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{6}{2}\right)}^2$$=28.274334\text{\hspace{0.17em}yd²}$

3. Find the area of section 3 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{8}{2}\right)}^2$$=50.265482\text{\hspace{0.17em}yd²}$

4. Find the area of section 4 by multiplying its length by its width

   $6\times 8$$=48\text{\hspace{0.17em}yd²}$

5. Add up the sections to get the total area

   $99+28.274334+50.265482+48$$=225.539816\text{\hspace{0.17em}yd²}$

6. Add 9% extra for offcuts and mistakes, so you buy enough material

   $225.539816\times 1+0.09$$=245.8384\text{\hspace{0.17em}yd²}$

7. Turn the area into square meters: one square yd is 0.83612736 m²

   $225.539816\times 0.83612736$$=188.580011\text{\hspace{0.17em}m²}$

8. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{205.552212\text{\hspace{0.17em}m²}}{0.09290304}$$=\mathrm{2,212.545598}\text{\hspace{0.17em}ft²}$

9. Multiply the area including waste by the price per ft²

   $\mathrm{2,212.545598}\times \mathrm{\$3.80}$$=\mathrm{\$8,407.67}$

5. Total area: 291.73 cm²

1. Find the area of section 1 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{13}{2}\right)}^2$$=132.73229\text{\hspace{0.17em}cm²}$

2. Find the area of section 2 by multiplying its length by its width

   $14\times 6$$=84\text{\hspace{0.17em}cm²}$

3. Find the area of section 3 by multiplying its length by its width

   $10\times 4$$=40\text{\hspace{0.17em}cm²}$

4. Find the area of section 4 by multiplying its length by its width

   $5\times 5$$=25\text{\hspace{0.17em}cm²}$

5. Find the area of section 5 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{5\times 4}{2}$$=10\text{\hspace{0.17em}cm²}$

6. Add up the sections to get the total area

   $132.73229+84+40+25+10$$=291.73229\text{\hspace{0.17em}cm²}$

7. Add 9% extra for offcuts and mistakes, so you buy enough material

   $291.73229\times 1+0.09$$=317.988196\text{\hspace{0.17em}cm²}$

8. Turn the area into square meters: one square cm is 0.0001 m²

   $291.73229\times 0.0001$$=0.029173\text{\hspace{0.17em}m²}$

9. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{0.031799\text{\hspace{0.17em}m²}}{0.09290304}$$=0.34228\text{\hspace{0.17em}ft²}$

10. Multiply the area including waste by the price per ft²

    $0.34228\times \mathrm{\$4.20}$$=\mathrm{\$1.44}$

6. Total area: 214.53 in²

1. Find the area of section 1 by multiplying its length by its width

   $9\times 9$$=81\text{\hspace{0.17em}in²}$

2. Find the area of section 2 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{11}{2}\right)}^2$$=95.033178\text{\hspace{0.17em}in²}$

3. Find the area of section 3 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{7\times 6}{2}$$=21\text{\hspace{0.17em}in²}$

4. Find the area of section 4 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{7\times 5}{2}$$=17.5\text{\hspace{0.17em}in²}$

5. Add up the sections to get the total area

   $81+95.033178+21+17.5$$=214.533178\text{\hspace{0.17em}in²}$

6. Add 10% extra for offcuts and mistakes, so you buy enough material

   $214.533178\times 1+0.1$$=235.986496\text{\hspace{0.17em}in²}$

7. Turn the area into square meters: one square in is 0.00064516 m²

   $214.533178\times 0.00064516$$=0.138408\text{\hspace{0.17em}m²}$

8. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{0.152249\text{\hspace{0.17em}m²}}{0.09290304}$$=1.638795\text{\hspace{0.17em}ft²}$

9. Multiply the area including waste by the price per ft²

   $1.638795\times \mathrm{\$4.00}$$=\mathrm{\$6.56}$

7. Total area: 25 ft²

1. Find the area of section 1 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{10\times 5}{2}$$=25\text{\hspace{0.17em}ft²}$

2. Add 13% extra for offcuts and mistakes, so you buy enough material

   $25\times 1+0.13$$=28.25\text{\hspace{0.17em}ft²}$

3. Turn the area into square meters: one square ft is 0.09290304 m²

   $25\times 0.09290304$$=2.322576\text{\hspace{0.17em}m²}$

4. Multiply the area including waste by the price per ft²

   $28.25\times \mathrm{\$3.80}$$=\mathrm{\$107.35}$

8. Total area: 113.1 cm²

1. Find the area of section 1 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{12}{2}\right)}^2$$=113.097336\text{\hspace{0.17em}cm²}$

2. Add 9% extra for offcuts and mistakes, so you buy enough material

   $113.097336\times 1+0.09$$=123.276096\text{\hspace{0.17em}cm²}$

3. Turn the area into square meters: one square cm is 0.0001 m²

   $113.097336\times 0.0001$$=0.01131\text{\hspace{0.17em}m²}$

4. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{0.012328\text{\hspace{0.17em}m²}}{0.09290304}$$=0.132693\text{\hspace{0.17em}ft²}$

5. Multiply the area including waste by the price per ft²

   $0.132693\times \mathrm{\$3.80}$$=\mathrm{\$0.50}$

9. Total area: 257.54 yd²

1. Find the area of section 1 by multiplying its length by its width

   $10\times 11$$=110\text{\hspace{0.17em}yd²}$

2. Find the area of section 2 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{14\times 7}{2}$$=49\text{\hspace{0.17em}yd²}$

3. Find the area of section 3 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{8}{2}\right)}^2$$=50.265482\text{\hspace{0.17em}yd²}$

4. Find the area of section 4 by multiplying its length by its width

   $5\times 4$$=20\text{\hspace{0.17em}yd²}$

5. Find the area of section 5 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{6}{2}\right)}^2$$=28.274334\text{\hspace{0.17em}yd²}$

6. Add up the sections to get the total area

   $110+49+50.265482+20+28.274334$$=257.539816\text{\hspace{0.17em}yd²}$

7. Add 10% extra for offcuts and mistakes, so you buy enough material

   $257.539816\times 1+0.1$$=283.293798\text{\hspace{0.17em}yd²}$

8. Turn the area into square meters: one square yd is 0.83612736 m²

   $257.539816\times 0.83612736$$=215.336087\text{\hspace{0.17em}m²}$

9. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{236.869695\text{\hspace{0.17em}m²}}{0.09290304}$$=\mathrm{2,549.644182}\text{\hspace{0.17em}ft²}$

10. Multiply the area including waste by the price per ft²

    $\mathrm{2,549.644182}\times \mathrm{\$3.80}$$=\mathrm{\$9,688.65}$

10. Total area: 143.77 yd²

1. Find the area of section 1 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{15\times 9}{2}$$=67.5\text{\hspace{0.17em}yd²}$

2. Find the area of section 2 (a triangle): base times height, halved, because a triangle is half a rectangle

   $\frac{12\times 8}{2}$$=48\text{\hspace{0.17em}yd²}$

3. Find the area of section 3 (a circle): π (about 3.14) times half the diameter, squared

   $\pi \times {\left(\frac{6}{2}\right)}^2$$=28.274334\text{\hspace{0.17em}yd²}$

4. Add up the sections to get the total area

   $67.5+48+28.274334$$=143.774334\text{\hspace{0.17em}yd²}$

5. Add 9% extra for offcuts and mistakes, so you buy enough material

   $143.774334\times 1+0.09$$=156.714024\text{\hspace{0.17em}yd²}$

6. Turn the area into square meters: one square yd is 0.83612736 m²

   $143.774334\times 0.83612736$$=120.213654\text{\hspace{0.17em}m²}$

7. Put the area in ft² to match your price (1 ft² = 0.09290304 m²)

   $\frac{131.032883\text{\hspace{0.17em}m²}}{0.09290304}$$=\mathrm{1,410.426215}\text{\hspace{0.17em}ft²}$

8. Multiply the area including waste by the price per ft²

   $\mathrm{1,410.426215}\times \mathrm{\$2.40}$$=\mathrm{\$3,385.02}$