Target Mathematics

1.6: Rectangle sides in surd form

4PM1/2/November/2024 — Question 2 · 6 marks

The length of rectangle RR is 2 cm greater than its width.
The area of RR is greater than 8cm28\mathrm{cm}^2 and the perimeter of RR is less than 30cm30\mathrm{cm}.
Given that the width of RR is ww cm,
find the set of possible values of ww
Give your answer in the form a<w<ba < w < b where aa and bb are rational numbers.
(6)