Complete Question:
The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______
Answer:
![Side\ 2 = 30cm](https://tex.z-dn.net/?f=Side%5C%202%20%3D%2030cm)
Step-by-step explanation:
Given
--- Area
--- Height
![Side\ 1=20cm](https://tex.z-dn.net/?f=Side%5C%201%3D20cm)
Required
The length of the other side (Side 2)
The area of a trapezium is:
![A = \frac{1}{2}(Side\ 1 + Side\ 2) * h](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28Side%5C%201%20%2B%20Side%5C%202%29%20%2A%20h)
![400 = \frac{1}{2}(20 + Side\ 2) * 16](https://tex.z-dn.net/?f=400%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2820%20%2B%20Side%5C%202%29%20%2A%2016)
![400 = (20 + Side\ 2) * 8](https://tex.z-dn.net/?f=400%20%3D%20%2820%20%2B%20Side%5C%202%29%20%2A%208)
Divide both sides by 8
![50 = 20 + Side\ 2](https://tex.z-dn.net/?f=50%20%3D%2020%20%2B%20Side%5C%202)
Collect Like Terms
![Side\ 2 = 50 - 20](https://tex.z-dn.net/?f=Side%5C%202%20%3D%2050%20-%2020)
![Side\ 2 = 30cm](https://tex.z-dn.net/?f=Side%5C%202%20%3D%2030cm)
Answer:
(3,2)
Step-by-step explanation:
start off by plugging in 2x - 4 for every y in an equation then solve for x after plug in the number u got for x in an equation then solve for y afterwards an ordered pair is always x value first y value next