Question 1176757
Because the triangle of the garden is a right triangle, the Pythagorean theorem can be used to solve the missing side.

(as usual c = the hypotenuse, I will set a = 6 ft and b = missing side)


{{{ a^2 + b^2 = c^2 }}} Pythagorean theorem
{{{ c^2 - a^2 = b^2 }}} re-arrange the formula to fit the problem
{{{ 10^2 - 6^2 = b^2 }}}
{{{ 100 - 36 = b^2 }}}
{{{ 64 = b^2 }}}
{{{ sqrt( 64 ) = sqrt( b^2 ) }}}
{{{ 8 = b }}}


Now that you have a, b and c. You can just add them together to get the perimeter. 


{{{ P = a + b + c }}}
{{{ P = 6 + 8 + 10 }}}
{{{ P = 24 ft }}}


Therefore, the perimeter of the garden is 24 ft.