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

Q: Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 54 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10

A: d
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Q: Problem: the product of the squares of two positive integers is 9 . how many pairs of positive integers satisfy this condition ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4

A: b
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Q: Problem: the diagonals of a rhombus are 11 cm and 20 cm . find its area ? 
Options: a ) 329 , b ) 288 , c ) 150 , d ) 238 , e ) 110

A:
e
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