Question

A farmer needs to buy fertilizer for two fields.one field is shaped like a trapezoid, and the other is shaped like a triangle.The trapezoidal field has bases that are 35 and 48 yards and a height 26 yards. The triangular field has the same height as the of field and a base of 39 yards. Each bag of fertilizer covers 150 Square yards. How many bags of fertilizer does the farmer need to buy?

Answer 1

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.The farmer needs to buy 11 bags of fertilizer.