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The area of a trapezoid is 243cm2. The height is 18cm and the length of one of the parallel sides is 10cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.

User Shaheeda
by
7.3k points

1 Answer

3 votes

Answer:


Side_2 = 17\ cm

Explanation:

Given

Shape: Trapezoid


Area = 243cm^2


Height = 18cm


Side_1 = 10cm

Required

Determine the length of the second parallel side

The area of a trapezoid is:


Area = (1)/(2)(Side_1 + Side_2) * Height

Substitute values for Area, Height and Side1


243 = (1)/(2)(10 + Side_2) * 18

Multiply both sides by 2


2 * 243 = 2 * (1)/(2)(10 + Side_2) * 18


486 = (10 + Side_2) * 18

Divide both sides by 18


27 = 10 + Side_2


Side_2 = 27 - 10


Side_2 = 17\ cm

Hence;

The length of the second parallel side is 17cm

User Trentium
by
5.7k points
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