This document is a worksheet about calculating the areas of different types of roofs. It includes examples of calculating the areas of a shed roof, gable roof, gambrel roof, and equal pitch hip roof. It provides the formulas for calculating the roof areas and applies them to work through examples with given measurements of roof dimensions. The objective stated is about roofing, and the worksheet includes practice problems for students to work through calculations of roof areas.
Calculate Roofing Areas and Materials for Home Projects
1. Roofing October 27, 2011
Objective: Roofing
c2
a2 + b 2 = c 2 b2
a2
rafter length = √rise2 + run2 + overhang
HW Roofing worksheet 1
2. Roofing October 27, 2011
HW Roofing worksheet 2
3. Roofing October 27, 2011
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")
HW Roofing worksheet 3
4. Roofing October 27, 2011
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.
HW Roofing worksheet 4
5. Roofing October 27, 2011
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?
HW Roofing worksheet 5
6. Roofing October 27, 2011
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.
HW Roofing worksheet 6
7. Roofing October 27, 2011
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(l1 + 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.
HW Roofing worksheet 7
8. Roofing October 27, 2011
Worksheet
HW Roofing worksheet 8