TMUA 2023 Paper 1 Q5 — Worked Solution

P1·Coordinate Geometry, Algebra & Surds·5.0Official · 2023 · Q5

geometryareaquadratic-formulasurds

The following shape has two lines of reflectional symmetry.

M N O P

is a square of perimeter

40

cm. The vertices of rectangle

R S T U

lie on the edge of square

M N O P

M R

has length

x

cm.What is the largest possible value of

x

such that

R S T U

has area

20 cm^{2}

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