This math topic focuses on calculating the dimensions of a rectangle when given its area and the ratio of its sides as fractional variables. It is part of a broader introduction to area and perimeter logic. The exercises require students to use algebra to solve for a variable, symbolized by 'x,' under the constraint of given geometric dimensions and numeric area values. The problems are framed as multiple-choice questions, each with several possible answers. This topic helps sharpen problem-solving skills in geometry and algebra, focusing particularly on applications involving area calculations and aspects of ratio manipulation.