ANSWER! BE = 3.6
To find the area of BEF, we first need to find the length of EF. Since we know that the angle at C is a right angle, triangle BCD is a right triangle. We can use the Pythagorean theorem to find the length of EF.
BC^2 + CD^2 =
BD^2 4^2 + 6^2 =
BD^2 16 + 36
= BD^2 52
= BD^2 BD
= √52 BD =
2√13
Since FD is given as 7, we can subtract FD from BD to find the length of EF.
EF = BD - FD
EF = 2√13 - 7
Now we can find the area of trapezoid BEFD by using the formula!
Area = (base1 + base2) * height / 2
The bases of the trapezoid are AB and EF, and the height is BE.