Area Of A Strange Quadrilateral
In the picture, the points C and F are in the sides BD and AE of the quadrilateral ABDE , respectively.
ABC and DEF are right angles and the segments AB , CD , DE and FA have their lengths in the picture. What is the area of the quadrilateral ACDF ?
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If we draw a line between points D and A, the area ACDF will be divided in two triangles.
The first triangle has a base of 6 and a height of 7. Then, its area is 21.
The other triangle has a base of 2 and an height of 10. Then, its area is 10.
Then, the area of the quadrilateral ACDF is 1 0 + 2 1 = 3 1 .