Question

If the sides of quadiletral are 37.6, 33, 35, 35.6 (all are in meter). Find the area of quadiletral. Is it possible to draw a unique quadiletral when all sides are given.​

Answer 1

Answer:

The area of quadiletral is 1243.39 $m^{2}$ and it is not possible to draw a unique quadiletral when all sides are given.​

Step-by-step explanation:

Let a = 37.6 m

  b = 33 m

  c= 35m

  d= 35.6m.

Therefore Area of quadilateral =$\sqrt{(s-a)(s-b)(s-c)(s-d)\\}$

           where s =(a+b+c+d)/2

                          =70.6.

       Area of quadilateral =$\sqrt{(70.6-37.6)(70.6-33)(70.6-35)(70.6-35.6\\)\\}$

                                          =1243.39 $m^{2}$.

It is not possible to determine a quadrilateral uniquely just by knowing its side lengths; You can vary the shape of a quadrilateral by keeping the side lengths fixed and thus the area changes.