Rectangle 35

Find the area of a rectangle when the diagonal is equal to 30 cms and the width is double the length.

Correct result:

S =  360 cm2

Solution:

u=30 cm a=2b u2=a2+b2 S=ab=360 cm2 u2=(2b)2+b2 u2=5 b2 b=u/5=30/5=6 5≐13.4164 a=2⋅ b=2⋅ 13.4164=12 5≐26.8328 S=a⋅ b=26.8328⋅ 13.4164=360 cm2 v=a2+b2=26.83282+13.41642=30 cm

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