a farmer needs to but fertilizer for two fields.one field is shaped like a triangle the other is shaped like a trapezoid.the trapezoid field has basis that are 35 and 48 yards and the height of 26 yards.the triangular field has the same height as th tr apezoidal field and a base of 39 yards. each bag of fertilizer covers 150 square yards.How many bags of fertilizer does the farmer have to buy????
Given: Trapezoid: bases 35 and 48 yards, height of 26 yards Triangle: base 39 yards and height of 26 yards 1 bag of fertilizer covers 150 square yards.
Area of Trapezoid = (a + b)/2 * h A = (35yd + 48yd)/2 * 26yd A = 83yd/2 * 26yd A = 41.50yd * 26yd A = 1,079yd²
Area of Triangle = (h*b)/2 A = (26yd * 39yd)/2 A = 1,014yd²/2 A = 507yd²
Total Area = 1,079yd² + 507yd² T.A. = 1,586yd²
1,586yd² ÷ 150yd² = 10.57 or 11 BAGS OF FERTILIZER.
