MetandumFREE TOOLS. NO SUBSCRIPTION.Find a calculator ⌕My projects
MEASURED QUANTITY SENSITIVITY

Equal-pitch hip roof geometry — rectangular plan length scenarios.

How does changing rectangular plan length affect equal-pitch hip roof geometry when the other inputs stay fixed?

What this decision changes

This measured quantity or supplied dimension enters the method on its stated unit basis. Other inputs stay fixed so its effect can be separated from net deductions, stock constraints or purchase rounding. Method basis: Equal pitches imply a ridge equal to plan length minus plan width. Unequal pitches, offset ridges, dormers and penetrations require separately measured planes.

The focus is specified rectangular plan length. All other shared inputs remain fixed for each evaluated range.

Area = 2×side trapezoid + 2×hip triangleEqual-Pitch Hip Roof Geometry Calculator

Evaluate your supplied alternatives

Start with your measured plan and selected product data. The initial values and range are illustrative. Each scenario changes only specified rectangular plan length; the other entered values stay fixed.

Measured plan and product inputs
Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Supplied comparison range for specified rectangular plan length
Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Nine evenly spaced values are evaluated. Whole counts are rounded to distinct integer scenarios. Values between the listed samples are not calculated.

8 valid of 9 evaluated scenarios

Baseline: Four-plane roof area — 30 m². Rejected combinations remain visible below.

Four-plane roof area across evaluated scenarios21.754.3525.55.129.255.85336.636.757.3540.58.144.258.85489.6
Each bar is one actual calculated four-plane roof area. Horizontal values: specified rectangular plan length in m.
Specified rectangular plan lengthFour-plane roof areaChange from baselineUse this scenario
3.6 mPlan length must be at least plan width.
4.35 m21.75 m²-8.25 m²Open in calculator
Exact quantity breakdown
Ridge length
0.35 m
Each trapezoidal side plane
5.875 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

5.1 m25.5 m²-4.5 m²Open in calculator
Exact quantity breakdown
Ridge length
1.1 m
Each trapezoidal side plane
7.75 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

5.85 m29.25 m²-0.75 m²Open in calculator
Exact quantity breakdown
Ridge length
1.85 m
Each trapezoidal side plane
9.625 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

6.6 m33 m²3 m²Open in calculator
Exact quantity breakdown
Ridge length
2.6 m
Each trapezoidal side plane
11.5 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

7.35 m36.75 m²6.75 m²Open in calculator
Exact quantity breakdown
Ridge length
3.35 m
Each trapezoidal side plane
13.375 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

8.1 m40.5 m²10.5 m²Open in calculator
Exact quantity breakdown
Ridge length
4.1 m
Each trapezoidal side plane
15.25 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

8.85 m44.25 m²14.25 m²Open in calculator
Exact quantity breakdown
Ridge length
4.85 m
Each trapezoidal side plane
17.125 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

9.6 m48 m²18 m²Open in calculator
Exact quantity breakdown
Ridge length
5.6 m
Each trapezoidal side plane
19 m²
Each triangular end plane
5 m²
Each hip edge
3.201562 m

Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

Read the evaluated results

Read calculated demand, whole purchases and exact detail lines separately. This specific input may change quantity continuously, cross a purchase step or make the stated geometry or stock fit invalid.

  1. Replace every illustrative baseline measurement and selected product value with the inputs for your actual task.
  2. Enter a comparison range on the focused input's stated unit and quantity basis.
  3. Review rejected combinations and use the exact detail lines to distinguish measured demand from whole purchases.
  4. Open an evaluated scenario in the full calculator to save its original inputs and quantity breakdown to a browser material project.

Keep the comparison within scope

Compare measurements or already specified alternatives. Quantity sensitivity does not establish material suitability or construction requirements.

Equal pitches imply a ridge equal to plan length minus plan width. Unequal pitches, offset ridges, dormers and penetrations require separately measured planes.

Dimensions, quantities, prices, timing and product properties are supplied by you. This tool does not select construction specifications or assess structural, electrical or hydraulic suitability.

Only the listed samples are evaluated. Intermediate values, alternate constraints and global cutting optimality are not inferred from the graph.

Continue with this quantity method

Equal-Pitch Hip Roof Geometry Calculator

Other independent input decisions

Read the measurement and purchase guides

Quantity method and illustrative scenarios checked 6 October 2026. Methods and scope.