In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
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Question: Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ? 
Options: a ) 14 % , b ) 15 % , c ) 28 % , d ) 30 % , e ) 35 %

Answer: c


Question: Problem: the measure of the side of a square is multiplied by 7 . if x represents the perimeter of the original square , what is the value of the new perimeter ? 
Options: a ) 3 x , b ) 4 x , c ) 7 x , d ) 12 x , e ) 27 x

Answer: c


Question: Problem: a rectangular circuit board is designed to have width w inches , perimeter p inches , and area x square inches . which of the following equations must be true ? 
Options: ['a ) w ^ 2 + pw + x = 0', 'b ) w ^ 2 - pw + 2 x = 0', 'c ) 2 w ^ 2 + pw + 2 x = 0', 'd ) 2 w ^ 2 - pw - 2 x = 0', 'e ) 2 w ^ 2 - pw + 2 x = 0']

Answer:
e