Step-by-step explanation:
Area of trapezoid ABCD
[tex] = \frac{1}{2} \times (27 + 37) \times x \\ \\ \therefore \: 480 = \frac{1}{2} \times (27 + 37) \times x \\ \\ \therefore \: 480 \times 2 = 64 x \\ \\ \therefore \: 960 = 64 x \\ \\ \therefore \:x = \frac{960}{64} \\ \\ \therefore \:x =15 \: cm \\ \\ perimeter = 37 + 27 + 15 + 15 \\ = 64 + 30 \\ = 94 \: cm[/tex]
