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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`


<pre>
1. Make a sketch.

2. The area of the triangle AXD is {{{1/4}}} of the area of the square.

3. The area of the triangle YCD is {{{1/4}}} of the area of the square.

4. The area of the triangle XBY is {{{1/8}}} of the area of the square.

5. The area of the three listed triangles is 

   {{{1/4 + 1/4 + 1/8}}} = {{{5/8}}}

   of the area of the square.

6. Therefore, the area of your triangle XYD is {{{1 - 5/8}}} = {{{3/8}}} of the area of the square.

7. Hence, the percentage under the question is {{{(3/8)*100}}} = . . . (?).

   Please calculate it yourself.
</pre>