A farmer’s rectangular field lies along a river. It measures 300m along the river and 150m perpendicular to it. She recently purchased additional land. The land purchased at either end of the farm is twice the width of the land purchased parallel to the river.  (a) Complete the following diagram and label it fully and If the additional land adds 55 000m2 more area, write and solve a quadratic equation to determine the new dimensions of the field.

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