Meena S. answered • 08/10/16

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Hi Xierylle,

Suppose side of rectangle= width= w m

so diangonal of a rectangle= (w+8) m

Length of a rectangle= l m

Area of a rectangle= l * w = 60 sq m, ....w= 60/l .....eq 1

For rectangle, all angles are right angles, using pythagoras theorem, or we can use ( 5:12:13)

l

^{2 }+ w^{2}= (w+8)^{2}l

^{2}+ w^{2}=w^{2}+16w +64l

^{2}= 16w+64, now from eq 1,l

^{2}=^{ }16(60/l) +64l

^{2}-960/l -64 =0l

^{3}-64l-960=0l

^{3}-12l^{2}+12l^{2}-144l +80l -960 =0l

^{2}(l-12) +12l( l-12) +80(l-12) =0l-12 =0

l=12

w=60/l=60/12=5

dimensions are 12m & 5 m

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