Technical
Article #2 - Estimating
the square footage of a sloped roof
While not
a requirement of the Standards of Practice, there are many
inspectors who provide very rough estimates of major costs
that a home purchaser may be facing. Re-shingling is one of
the more common costs. In order to make an educated estimate
of the cost, though, you’ll have to make an educated
guess of the size of the roof.
If you’re
able to get onto the roof (again, not a Standards requirement),
this is made relatively simple. A measuring tape can be used
to figure out the dimensions of the roof surface and with
a simple multiplication, you’ve got your number. If
you don’t carry a tape up onto the roof, or can see
the roof, but don’t walk on it, you can always count
shingles.
Most roofing
materials come in standard dimensions. Asphalt shingles, for
example, are typically either one yard or one meter wide.
Each shingle tab (on a three-tab shingle) is about one foot
wide. If you count the number of tabs going across the bottom
of the roof, you’ll know how wide that roof is.
The exposure
on a typical asphalt shingle is about five inches. Since cutouts
(the space between the tabs) lines up every other row, you
can pick one cutout at the bottom of the roof and count vertically
up the roof, as shown in the photo below.

Now that
you’ve counted every other row, you’ve counted
every ten inches. If you want to make things simple (and for
the sake of very rough estimating), you might as well round
this off to one foot. Now that you’ve counted the width
and the height of the roof surface in feet, you can again
do some simple multiplication and get the surface area.
You can
see how this is simple on a gable roof, but what about on
a hip roof? Do you have to measure all four sides? Fortunately,
the answer is no. As long as all four sides of the roof have
the same slope, a hip roof that is fifty-feet long and twenty
feet from eaves to ridge will have exactly the same surface
area as a gable roof with the same dimensions.
And what
about those roofs that you can’t directly measure at
all? You always have the option of measuring the footprint
of the house at ground level and adding on a few feet for
the eaves, but how can you figure out the surface area? Since
the roof is sloped, we’re going to have to multiply
the measurement of the horizontal footprint by some sort of
factor to get the true surface area. How much do you need
to bump it up by? 10%? 25%? Do you remember wondering when
that high school trigonometry would come in handy? Well now’s
the time.

If you know
the rise of the roof and the run of the roof, we can figure
out the length of the sloped surface of the roof. The illustration
above will demonstrate that, but rather than get involved
with a lot of square roots, let’s look at a few sample
results in the table below. This table contains a number of
common roof slopes, the percentage that must be added to get
the surface area and, even easier to use, the multiplication
factor that you need to use to figure out the surface area.

So if you
figured that a house had a roof with a footprint of about
2,000 square feet and estimated that the slope of the roof
was 4-in-12, you would get the surface area by multiplying
2,000 by 1.05 (i.e. adding 5%). In this case the area would
be 2,100 square feet. You can see by the chart that low slope
roofs are not significantly larger than their footprint area,
but that as the slope goes up, the increase in area grows
even faster.
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