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Chapter 8: Q. 41 (page 541)

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.

Short Answer

Expert verified

The ground area covered by the building is 7517.38ft2

Step by step solution

01

Given information

We are given

a=87ftb=173ftc=190ft

02

Find the parameter 

We have,

s=12(87+173+190)s=12(450)s=225

03

Find the area

Use herons formula to find the area

K=225(225-87)(225-173)(225-190)K=225(138)(52)(35)K=56511000K=7517.38ft2

04

Conclusion

The ground area covered by the building is7517.38ft2

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