In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 180 m , its area is ? 
Options: a ) 90 , b ) 882 , c ) 277 , d ) 261 , e ) 281
a

Problem: two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 49 . find the ratio of their corresponding heights . 
Options: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 2 , d ) 4 / 7 , e ) 2 / 3
d

Problem: the area of a square field is a square feet and the perimeter is p feet . if 6 a = 6 ( 2 p + 9 ) , what is the perimeter of the field , in feet ? ( here a = a ^ 2 ) 
Options: ['a ) 28', 'b ) 36', 'c ) 40', 'd ) 56', 'e ) 84']

b