Rectangular field

A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field.

Correct result:

a =  156 m
b =  65 m
p =  442 m
S =  10140 m2

Solution:

u=169 m a=12x b=5x  u2=a2+b2 u2=(12x)2+(5x)2 u2=122 x2+52 x2  x=u/122+52=169/122+52=13 m  a=12 x=12 13=156 m
b=5 x=5 13=65 m
p=2 (a+b)=2 (156+65)=442 m
S=a b=156 65=10140 m2



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