vinnik wrote:

A rectangular plot is half as long again as it is broad and its area is 2/3 hectares. Then its length is:

(a) 100 m

(b) 33.33 m

(c) 66.66 m

(d) (100 \sqrt{3})/3 m

(e). 88.88 m

Thanks & Regards

Vinni

1 hectares = 100*100 squared meters

\(B*H=100000*\frac{2}{3}\) and \(H=\frac{1}{2}B\) so \(\frac{B*B}{2}=10000*\frac{2}{3}\) \(B^2=10000*2*\frac{2}{3}\)

\(B^2=\frac{10000*4}{3}, B=\sqrt{\frac{10000*4}{3}}\)

\(B=\frac{100*2}{\sqrt{3}}\) and \(H=\frac{100}{\sqrt{3}}\)

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