Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

The diagram shows two shapes that are mathematically similar. The larger shape measures $9\text{ cm}$ in width and $6.3\text{ cm}$ in height. The smaller shape measures $5\text{ cm}$ in width and $h\text{ cm}$ in height. The diagrams are marked NOT TO SCALE.
(a)[2]

Determine the value of $h$.

(b)[2]

The smaller shape has an area of $16\text{ cm}^2$. Calculate the area of the larger shape.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Therefore, $h = 3.5$.

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