Algebra and graphs Question Preview

The diagram shows a trapezium.

The lengths of three of the sides of the trapezium are `x − 5, x + 2` and `x + 6`.

All measurements are given in centimetres.

The area of the trapezium is `52` cm².

By first showing that `x2 − x − 72 = 0`, or otherwise, solve the equation and find the possible value(s) of `x`.

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