Mathematics 0580 · IGCSE · Area and perimeter

Area and perimeter — practice question

The diagram represents a figure formed by triangle JKL together with a semicircle whose diameter is JL. JKL is an isosceles right-angled triangle with $JK = JL = 12.8\text{ cm}$. The semicircle has radius $12.8\text{ cm}$. NOT TO SCALE.
(a)[3]

Calculate the area of the shape shown.

(b)[4]

Calculate the perimeter of the shape shown.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: M1: Area of triangle $\frac{1}{2} \times 12.8 \times 12.8$

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