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: triangle atriangle b are similar triangles with areas 1792 units square and 2527 units square respectively . the ratio of there corresponding height would be 
Options: a ) 9 : 10 , b ) 17 : 19 , c ) 23 : 27 , d ) 16 : 19 , e ) 15 : 23
d

Problem: the length of a rectangular landscape is 8 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 6 rd of the total landscape . what is the length of the landscape ? 
Options: a ) 180 , b ) 270 , c ) 340 , d ) 140 , e ) 240
e

Problem: the product of the squares of two positive integers is 1600 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4

e