Trapez równoramienny ABCD, którego pole jest równe 72 cm2, podzielono na trójkąt AED i trapez EBCD. Odcinek AE ma długość równą 4 cm, a odcinek CD jest od niego 2 razy dłuższy. Oblicz pole trójkąta AED. Zapisz obliczenia.

The area of triangle AED is 12 square centimeters

Step-by-step explanation:

The question in English is

The isosceles trapezoid ABCD, whose area is equal to 72 cm2, is divided into an AED triangle and a EBCD trapezoid. The AE segment is 4 cm long and the CD segment is 2 times longer. Calculate the area of the AED triangle. Save the calculations.

The picture of the question in the attached figure

step 1

Find the length side DE

we know that

The area of the trapezoid ABCD is given by the formula

so

we have

substitute

solve for DE

step 2

Find the area of triangle AED

The area of triangle AED is given by the formula

substitute the given values