+50 Work out the width of a rectangle with area √5 and length 1+√5.
Give your answer in the form a+b√5, where a and b are rational constants
+16 \(\text{RECTANGLE}\\ \begin{align} A&=\sqrt{5}\\ a&=1+\sqrt{5}\\ A&=ab\\ b&=\frac{A}{a}\\ b&=\frac{\sqrt{5}}{1+\sqrt{5}}\\ b & \approx 0.690983\\\\ \text{answer} &= a+b \sqrt{5}\\ \text{answer} &= 1\sqrt{5}+0.690983 \sqrt{5}\\ \text{answer} &=4.781153 \end{align}\)
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