Step-by-step explanation:
Given one is an isosceles trapezoid. Hence its non-parallel sides are equal.
In order to find the Perimeter of trapezoid, we need to find the length of non-parallel sides
Length of non-parallel sides can be obtained using Pythagoras theorem as given below:
[tex]Length \: of \: non-parallel \: sides \\ = \sqrt{ {(diff. \: of \: bases)}^{2} + ({height)}^{2} } \\ = \sqrt{ {(39 - 27)}^{2} + {(12)}^{2} } \\ = \sqrt{ {12}^{2} + {12}^{2} } \\ = \sqrt{2 \times {12}^{2} } \\ = 12 \sqrt{2} \\ = 12 \times 1.414 \\ = 16.968 \\ = 16.97 \: ft \\ \\ perimeter \: of \: trapezoid \\= 39 + 27 + 2 \times 16.97 \\ = 66 + 33.94 \\ = 99.94 \: ft[/tex]
