Answer:
Part 1) The trapezoid has an area of ![20\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2)
Part 2) The kite has an area of
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of ![20\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2)
The kite has an area of
so
![20\ m^2< 21\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2%3C%2021%5C%20m%5E2)
therefore
The area of the trapezoid is less than the area of the kite