Methods2024 Exam 2 Section A · Q18CAS active1 mark

Maximising the area of a trapezium

Find the value of $x$ which maximises the area of the trapezium below.

An isosceles trapezium with parallel top side of length x and bottom side split into three segments each of length x. The two slanted sides each have length 10. Dashed vertical heights drop from the top corners to the base, meeting it at right angles.

Find the value of $x$ which maximises the area of the trapezium below.

1 mark

10

5\sqrt{2}

7

\sqrt{10}

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