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Area and Border Cost in Square Yards

Calculate plan area, perimeter and material plus labor budgets for several simple shapes.

  • Formula & worked example
  • Private in your browser
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

In initial displayed units, Side length a 3, Unit area material price 5, Unit area labor cost 5, Unit border material price 2, Unit border labor cost 1 gives Square area 1, Square perimeter 4, Total cost 22.

Cost = area×(area material+labor rate)+perimeter×(border material+labor rate).

Worked example

Enter these known values and leave the other values blank.

Side length a
3 ft
Unit area material price
5 USD / yd²
Unit area labor cost
5 USD / yd²
Unit border material price
2 USD / yd
Unit border labor cost
1 USD / yd
Square area
1 yd²
Square perimeter
4 yd
Total cost
22 USD

Assumptions and limitations

  • The example uses feet for dimensions and yards for area/border price denominators. Triangles require positive sides/angles and strict triangle inequalities. Polygon and circular geometry excludes waste, seams and measurement uncertainty.
  • Use compatible measurement units. Clear an unknown before solving for it, and lock independent known values when comparing changes. Currency choices label amounts without exchange-rate conversion.

Common questions

Can I solve backward from the result?

Clear the unknown and enter independent known values. A rounded whole count cannot uniquely recover a continuous dimension; keep the original measured dimensions for procurement planning.

References

The third ASA triangle angle uses exact pi rather than the captured rounded 3.1415-radian constant. Enforce valid triangle geometry and treat border prices as rates per unit length. The international acre is exactly 43560 square international feet; Bookify replaces the rounded captured area factor.

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