Waec Model Questions Vol1 2021 Mathematics Question 7

A farmer has a rectangular field that measures 120 meters in length and 80 meters in width. The farmer decides to plant two types of crops in the field: maize and cassava. The area allocated for maize is to be twice the area allocated for cassava. (a) Calculate the total area of the field. (b) Let the area allocated for cassava be represented by x. Write an expression for the area allocated for maize in terms of x. (c) Using the expression from part (b), formulate an equation to represent the total area of the field in terms of x. (d) Solve the equation from part (c) to find the area allocated for each type of crop. (e) If the farmer sells the maize at ₦150 per square meter and the cassava at ₦100 per square meter, calculate the total revenue the farmer would earn from selling both crops if all the crops are harvested.