Mathematics

Mathematics

Problem

A circular grass plot of radius 15 m15\,\text{m} is surrounded by a path of uniform width such that the area of the path is exactly half the area of the grass plot. (Take π=227\pi = \frac{22}{7}.) a. Part 1: (i) Form an equation in terms of the unknown width xx of the path. b. Part 2: (ii) Solve the equation to find the width of the path, correct to one decimal place. c. Part 3: (iii) Calculate the total area of the path in square metres and express your answer also in hectares (1 hectare = 10 000 m210\,000\,\text{m}^2).

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