SOLUTION: In a square ABCD, X is the midpoint of AB and Y is the midpoint of BC. What percent of the area of square ABCD is the area of triangle XYD?

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Question 1019684: In a square ABCD, X is the midpoint of AB and Y is the midpoint of BC. What percent of the area of square ABCD is the area of triangle XYD?
Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
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In a square ABCD, X is the midpoint of AB and Y is the midpoint of BC. What percent of the area of square ABCD is the area of triangle XYD?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~` 

1. Make a sketch.

2. The area of the triangle AXD is  of the area of the square.

3. The area of the triangle YCD is  of the area of the square.

4. The area of the triangle XBY is  of the area of the square.

5. The area of the three listed triangles is 

    = 

   of the area of the square.

6. Therefore, the area of your triangle XYD is  =  of the area of the square.

7. Hence, the percentage under the question is  = . . . (?).

   Please calculate it yourself.


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