Answer:
13 ft by 19 ft
Step-by-step explanation:
If we represent length and width by x and y, we can write the equations for perimeter and area as ...
P = 2(length + width)
64 = 2(x +y)
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A = length × width
247 = xy
These equations can be easily solved with a graphing calculator. The solutions are ...
(x, y) = (13, 19) or (19, 13).
Either way, the rectangle has dimensions 13 ft by 19 ft.
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If you like you can solve the second equation for y, then substitute that into the first equation.
y = 32 -x
247 = x(32 -x)
x^2 -32x +247 = 0
(x -13)(x -19) = 0
One dimension is either 13 ft or 19 ft. The corresponding other dimension is 19 ft or 13 ft.
