. The Decorator's assistant. Multiply the sum of the parallel sides a band D c by the perpendicular distance betweenthem, E c, and half the product will be thearea. Example.—Required the area of a trapezoidof which the parallel sides are 120 feet and 90feet, and the perpendicular distance 40 feet ? 12090 210 40 2) 8400 4200 sq. ft., area required. PROBLEM VII. To find the area of any irregular figure. Draw diagonals, dividing the figure into tra-peziums and triangles; then, having found thearea of each by Problems II. and V., add themtogether, and the sum will be the area re-quired. Example.—W
. The Decorator's assistant. Multiply the sum of the parallel sides a band D c by the perpendicular distance betweenthem, E c, and half the product will be thearea. Example.—Required the area of a trapezoidof which the parallel sides are 120 feet and 90feet, and the perpendicular distance 40 feet ? 12090 210 40 2) 8400 4200 sq. ft., area required. PROBLEM VII. To find the area of any irregular figure. Draw diagonals, dividing the figure into tra-peziums and triangles; then, having found thearea of each by Problems II. and V., add themtogether, and the sum will be the area re-quired. Example.—What will be the area of thefigure abcdefga, having a c 42 ft., b i 44 158 THE DECORATOR S A B ft., G HD L 24 ft 35 ft.,, and 2) c G 54 M 41 ft. ? 4435 7942 158316 3318 F ic 50 ft., c E 47 ft., 1659 area of trapezium A B C G. 2441 65 47 455260 2) 3055 1527^ area of trapezium c d e f. 5450 2) 2700 1350 area of triangle g o f. 1659 15274 1350 4536J sq. ft., area he continued.) Cunningham and Carters AtmosphericRailway.—Messrs. Cunningham and Carterhave constructed a working model of a rail-way, on their system of atmospheric propul-sion, at Peak Hill, near Sydenham. Railways in Ireland.—The earthworks ofrailways in Ireland are calculated to present asource of employment for the next four or fiveyears, at least, to the labouring population. ^xim of ti)e WAm\^ CratJf inSiJoit? erlantr. In the year 1679, a youth, of La Sagne, nearLocle, named Daniel John Richard Bressel,who was then about fifteen years of age, endea-voured to repair a watch, entrusted to him by ahorse-dealer, as the only person in the wholevalley who had any knowledge of percei
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