A rectangular playground has length and width .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A rectangular playground has length 605 m\dfrac{60}{\sqrt{5}}\,\text{m} and width 4520 m\dfrac{45}{\sqrt{20}}\,\text{m}. (a) Express the length and the width in simplest form with rational denominators. (b) Using the results of part (a), find the perimeter of the playground in metres, writing the final answer with no radical in any denominator.

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