- #1
youngstudent16
- 59
- 1
Homework Statement
http://i.imgur.com/lzTN7If.png
Excuse the bad drawing
Point E lies on the side AC of the square ACBD. The segment EB is broken up into 4 equal parts as well as the segment ED. If JK = 3 find the area of the quadrilateral FGKJ[/B]
Homework Equations
Trapezoid equation to find the height and the area. As well as pythagoras equation
The Attempt at a Solution
My attempt was I know that quadrilateral is a isosceles trapezoid because you have opposite parallel sides and two sides equal. I assumed since the segment JK was 3 FG was 1 and the side BD was 4. I also assumed E split AC in half. I tried to calculate the entire segment EB using 4^2+2^2=sqrt(20) I divided that by 4 to find length of one of the 4 equal segments. Then multiplied that by 2 to get sqrt(5). Used the formula for finding H of an isosceles trapezoid and got 2. Area then would be 1/2(4)(2)=4My geometry is weak so don't have confidence in the approach. Thanks for any help
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