Question 315938
Let {{{b}}} = the amount in inches added to the length
Let {{{b}}} = the amount in inches subtracted from the width
Let {{{a}}} = the length of the sides of the original square
---------------------
given:
{{{a^2 = 64}}} in2
Take the square root of both sides
{{{a = 8}}} in
{{{(8 + b)*(8  - b) = 55}}} in2
{{{64 + 8b - 8b - b^2 = 55}}} in2
{{{64 - b^2 = 55}}}
{{{b^2 = 64 - 55}}}
{{{b^2 = 9}}}
{{{b = 3}}}
{{{8 + b}}} = length of rectangle
{{{8 + 3 = 11}}}
{{{8 - b}}} = width of rectangle
{{{8 - 3 = 5}}}
The dimensions are 5 x 11 in2