Question:
The diagram shows a right -angle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h. Find h
Answer:
![h =12cm](https://tex.z-dn.net/?f=h%20%3D12cm)
Step-by-step explanation:
Given
Triangle
![Base = 9cm](https://tex.z-dn.net/?f=Base%20%3D%209cm)
![Height = 16cm](https://tex.z-dn.net/?f=Height%20%3D%2016cm)
Parallelogram
![Base = 30cm](https://tex.z-dn.net/?f=Base%20%3D%2030cm)
![Height = h](https://tex.z-dn.net/?f=Height%20%3D%20h)
Calculate the area of the triangle
![Area = 0.5 * Base * Height](https://tex.z-dn.net/?f=Area%20%3D%200.5%20%2A%20Base%20%2A%20Height)
![Area = 0.5 * 9cm * 16cm](https://tex.z-dn.net/?f=Area%20%3D%200.5%20%2A%209cm%20%2A%2016cm)
![Area = 72cm^2](https://tex.z-dn.net/?f=Area%20%3D%2072cm%5E2)
When multiplied by 5, gives the area of the parallelogram.
So:
The area of Parallelogram is:
![Area = Base * Height](https://tex.z-dn.net/?f=Area%20%3D%20Base%20%2A%20Height)
![Area = 30cm * h](https://tex.z-dn.net/?f=Area%20%3D%2030cm%20%20%2A%20h)
This gives:
![30cm * h = 72cm^2 * 5](https://tex.z-dn.net/?f=30cm%20%20%2A%20h%20%3D%2072cm%5E2%20%2A%205)
Make h the subject
![h = \frac{72cm^2 * 5}{30cm}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B72cm%5E2%20%2A%205%7D%7B30cm%7D)
![h = \frac{72cm^2}{6cm}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B72cm%5E2%7D%7B6cm%7D)
![h =12cm](https://tex.z-dn.net/?f=h%20%3D12cm)
Answer:
5
Its pretty easy! 1.5 times what equals 7.5? 1.5 x 2 =3 . 1.5 x 3 = 4.5. 1.5 x 4 = 6
1.5 x 5 = 7.5!
Answer:if it’s a pretest just guess you don’t need to get it right
Step-by-step explanation: