A complete and practical solution book for the common school teacher (1899)
Fairchild, J[ohn] T[heodore] [from old catalog] · Crawfis College, Ohio, The author · leaf 224
PROBLEM 413. What is the area of a path 1 yard wide, passing diagonally acrossa lot 20 rd. wide and 30 rd. long, the diagonal of the lot passingthrough the middle of the path? MENSURA TION. 209 … FIG. 93. Solution. (1) Let ABCD represent the lot; HGLE, the path. (2) EI, HS, GF and LK are each perpendicular toDB, and are each 18 in. (3) By similar triangles, DC : CB :: DS : HS,and DS = 2.25 ft. (4) DC :CB::GF: FB, from which FB—1 ft. (5) The total area of the four triangles is 4.875 sq. ft.…
Arithmetic · Geometry
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