Mathematics 0580 · IGCSE · Equations

Equations — practice question

A rectangle has sides $(2x + 3)\text{ cm}$ and $(x + 1)\text{ cm}$. Its area is $190\text{ cm}^2$. The diagram is not to scale.

(a(i))[4]

By forming and solving an equation, show that $x = 8.5$.

(a(ii))[2]

Calculate the perimeter of the rectangle.

(b(i))[4]

Show that $r = 23.7\text{ cm}$, accurate to 1 decimal place.

(b(ii))[4]

Calculate the total perimeter of the shaded segment.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$x=8.5$” …