41. The Flatiron Building Completed in 1902 in New York
City, the Flatiron Building is triangular shaped and bounded
by 22nd Street, Broadway, and 5th Avenue. The building
measures approximately 87 feet on the 22nd Street side,
190 feet on the Broadway side, and 173 feet on the
5th Avenue side. Approximate the ground area covered by
the building.
Source: Sarah Bradford Landau and Carl W. Condit, Rise of
the New York Skyscraper: 1865–1913. New Haven, CT: Yale
University Press, 1996

answer: 12

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft