Quadratic Expressions and Equations Involving Areas WORKSHEET

This worksheet focuses on applying algebraic techniques to solve problems involving areas of geometric shapes.

In Section A, students are asked to write algebraic expressions for the areas of various shapes in the standard quadratic form. The shapes include a rectangle, square, triangle, and an ‘L’ shaped hexagon where students must use given dimensions to form quadratic expressions. Learners will also use areas of shapes and one given length to find an expression for a missing length.

In Section B, students must form and solve quadratic equations to find unknown dimensions using areas given in cm2. The final question poses a problem involving the relationship between the sizes of tiles and their areas which are then used to form and solve a quadratic equation.