Answer:
[tex]Side_2 = 17\ cm[/tex]
Step-by-step explanation:
Given
Shape: Trapezoid
[tex]Area = 243cm^2[/tex]
[tex]Height = 18cm[/tex]
[tex]Side_1 = 10cm[/tex]
Required
Determine the length of the second parallel side
The area of a trapezoid is:
[tex]Area = \frac{1}{2}(Side_1 + Side_2) * Height[/tex]
Substitute values for Area, Height and Side1
[tex]243 = \frac{1}{2}(10 + Side_2) * 18[/tex]
Multiply both sides by 2
[tex]2 * 243 = 2 * \frac{1}{2}(10 + Side_2) * 18[/tex]
[tex]486 = (10 + Side_2) * 18[/tex]
Divide both sides by 18
[tex]27 = 10 + Side_2[/tex]
[tex]Side_2 = 27 - 10[/tex]
[tex]Side_2 = 17\ cm[/tex]
Hence;
The length of the second parallel side is 17cm
