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Can you help me to find the area of trapezoid WXYZ

Can you help me to find the area of trapezoid WXYZ-example-1
User Tuxdna
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The are of the trapezoid can be calculated by parts:

First part: rectangle of 12 by 18 ==> area = 12 * 18 = 216

Second part: triangle on the right with height 12 and we don't know the base but we can calculate it by pythagoras:

12² + base² = 15² ==> base² = 15² - 12² = 225 - 144 = 81 ==> base = 9

Then the area of the triangle on the right is (b * h)/2 = (9 * 12)/2 = 54

Third part:

triangle on the top of the figure, it has a heihgt of 1 and a base of 18, so its area is (b * h)/2 = (18 * 1)/2 = 9

Adding all the parts: 216 + 54 + 9 = 279

Answer:

Area = 279

Can you help me to find the area of trapezoid WXYZ-example-1
User Paul Wheeler
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