14. The diagram shows a rectangle measuring (3√2 − 3) cm by l cm. Given that the area of the rectangle is 6 cm², find the exact value of l in its simplest form.

Question

Вопрос:

Accepted Answer

Area = length × width, so 6 = l(3√2 − 3). Therefore l = 6/(3√2 − 3) = 2/(√2 − 1). Rationalising gives l = 2(√2 + 1) cm.

Answer: l = 2√2 + 2 cm.

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