Serge M. answered 01/28/17
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PhD and CPE with 40 years of experience teaching accounting
Use the Pythagorean principle: In a right triangle the sum of the squares of the two sides forming 90 degrees is equal to the square of the hypotenuse
In all cases the length of the roof is 30 ft. The dimensions given include the roof eaves, but the 30' dimension is the building length. If the roof has rakes the length of the roof is more than 30'.
The triangle forming the small roof (B) has legs 5 ft and 4 ft. Be careful, the drawing is not to scale. The 4' leg looks longer than the 5' vertical leg.
5 squared = 25
4 squared = 16
The sum for the hypotenuse is 41
The square root of 41 is 6.4
Half of roof B is 6.4 * 30 = 192 sq. ft.
Use the same approach to find the area of roof A.