Mathematics 0580 · IGCSE · Compound shapes and parts of shapes

Compound shapes and parts of shapes — practice question

The figure is a pentagon formed by joining two congruent trapeziums. It shows a base of $14\text{ cm}$, a central vertical height of $11.4\text{ cm}$, right angles at the two bottom corners, matching sloping sides indicated by marks, and a left-hand vertical side labelled $x\text{ cm}$. The figure is NOT TO SCALE. Its area is $130.2\text{ cm}^2$.
(main)[3]

Calculate the value of $x$ shown in the diagram.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct solution gives $x=7.2$ or $7\frac{1}{5}$” …

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