Question 1092256
Complete the square
{{{ w^2 + 14w - 1472 = 0 }}}
{{{ w^2 + 14w + (14/2)^2 = 1472 + (14/2)^2 }}}
{{{ w^2 + 14w + 49 = 1472 + 49 }}}
{{{ w^2 + 14w + 49 = 1521 }}}
{{{ ( w + 7 )^2 = 39^2 }}}
{{{ w + 7 = 39 }}}
{{{ w = 32 }}}
and
{{{ w + 14 = 32 + 14 }}}
{{{ w + 14 = 46 }}}
Thw width is 32 ft
The length is 46 ft
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check:
{{{ 32*46 = 1472 }}}
OK