This document discusses different types of roof structures and provides examples of how to calculate the areas of shed roofs, gable roofs, gambrel roofs, and hip roofs. Formulas are provided for calculating rafter lengths and roof areas for each type of roof based on given dimensions like roof length, rafter length, pitch, and overhang. Worked examples demonstrate how to apply the formulas to find roof areas.

1. roofing
November 07, 2012
Objective: Roofing
c2
b2
a2 + b2 = c2
a2
rafter length = √rise2 + run2 + overhang
Nov 14­5:37 PM
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2. roofing
November 07, 2012
Oct 26­11:40 AM
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3. roofing
November 07, 2012
Objective: Roofing
Warm Up
Find the amount of crushed stone and
concrete needed for a garage that will
be 20' by 14'. (depth of each 6")
Nov 14­7:43 PM
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3

4. roofing
November 07, 2012
Shed Roof
A = l d
The rafter length on a shed roof is 15 feet while the length
of the roof is 18 feet. Find the roof area.
Nov 16­7:21 AM
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5. roofing
November 07, 2012
Gable Roof
A = l d 2
A gable roof that is 30 feet long has rafters 12 feet long.
What is the area of the roof?
Nov 16­7:23 AM
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5

6. roofing
November 07, 2012
Gambrel Roof ­ like a barn or shed
A = l (d1 + d2) 2
The rafter lengths of the two sections
of a gambrel roof are 16 feet and 10 feet.
The roof is 60 feet long.
Farm scene
HW wkst
6

7. roofing
November 07, 2012
Equal Pitch Hip Roof
Find the area of the triangular sections
A = 1/2 l d
Find the area of the trapezoidal sections
A = 1/2(l 1 + l2) d
The length of the eaves of an equal pitch hip roof is 25 feet; the span is 16 feet
and the ridge is 10 feet. Find the roof area if the common rafter length is 8 feet.
Nov 16­7:25 AM
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8. roofing
November 07, 2012
Worksheet
Nov 16­7:33 AM
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9. roofing
November 07, 2012
Oct 27­11:42 AM
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