. The Decorator's assistant. A DESIGN FOR A GAS BRACKET. Mtmuxatm of Sujierfices. (Continued from page 150.) PROBLEM V. To find the area of a Draw the diagonal a c, upon which let fallfrom its opposite angles b and d, the perpen-diculars B F and D E. Find by measurementthe diagonal a c, and the perpendiculars b fand D E; then, 1. Multiply the diagonal by the sum of thetwo perpendiculars, and half the product willbe the answer. Or, 2. Divide the trapezium into two triangles,and the sum of the areas of these triangles willgive the area required. Example.—How many square feet are the


. The Decorator's assistant. A DESIGN FOR A GAS BRACKET. Mtmuxatm of Sujierfices. (Continued from page 150.) PROBLEM V. To find the area of a Draw the diagonal a c, upon which let fallfrom its opposite angles b and d, the perpen-diculars B F and D E. Find by measurementthe diagonal a c, and the perpendiculars b fand D E; then, 1. Multiply the diagonal by the sum of thetwo perpendiculars, and half the product willbe the answer. Or, 2. Divide the trapezium into two triangles,and the sum of the areas of these triangles willgive the area required. Example.—How many square feet are therein a trapezium whose diagonal is 64, and thetwo perpendiculars 28 and 32 feet ?2832 6064 2) 3840 1920 ft, area. PROBLEM VI. To find the area of a trapezoid, or a quadrangle, two of whose opposite sides areparallel.


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