GCSE Maths Practice: perimeter-and-area

Question 10 of 10

This question introduces combining areas of different shapes to form a composite shape.

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\( \begin{array}{l}\text{Which method would you use to find the area of a shape made from a rectangle and a semicircle?}\end{array} \)

Choose one option:

\( \text{Add the area of the rectangle and the semicircle} \) \( \text{Add the perimeters} \) \( \text{Multiply the areas} \) \( \text{Subtract the semicircle area from the rectangle area} \)

Compute each area individually, then add. Verify units.

For composite shapes, calculate each individual area separately, then sum them. For example, a shape with a rectangle and a semicircle: find rectangle area using length × width, semicircle area using 0.5 × πr², then add. This skill is essential in real-world applications like construction and design. Practice with various combinations to improve speed and accuracy. Always check units and ensure dimensions correspond correctly.