Answer:
b=7m
Step-by-step explanation:
The given triangle has height 8 m, base b m, and area ,28 m².
The area of a triangle is given by:
![A= \frac{1}{2} bh](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20bh)
We substitute the given information to get:
![28 = \frac{1}{2} \times b \times 8](https://tex.z-dn.net/?f=28%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20b%20%5Ctimes%208)
Let us simplify on the right side.
![28 = 4b](https://tex.z-dn.net/?f=28%20%3D%204b)
You can now divide both sides by 4
![\frac{28}{4} = b](https://tex.z-dn.net/?f=%20%5Cfrac%7B28%7D%7B4%7D%20%20%3D%20b)
![b = 7](https://tex.z-dn.net/?f=b%20%3D%207)
Therefore the base is 7 m.