Answer:
c
Step-by-step explanation:
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We are tasked to solve for the area of the new rectangle. The formula of solving area of the rectangle is A = width * length
Old triangle Area = 384 m² = w * l
New triangle Area we have:
Area = w * 0.75l
384 m² = w*0.75l
384 / 0.75 = w*l
288 m² = w*l
The answer is 288 m².
The formula is given as
![a_{n} = a_{1}+(n-1)d](https://tex.z-dn.net/?f=%20a_%7Bn%7D%20%3D%20a_%7B1%7D%2B%28n-1%29d%20)
, multiplying out the bracket gives
![a_{n}= a_{1}+nd-d](https://tex.z-dn.net/?f=a_%7Bn%7D%3D%20%20a_%7B1%7D%2Bnd-d%20%20)
, rearranging to make
![n](https://tex.z-dn.net/?f=n)
the subject
![a_{n}- a_{1}+d=nd](https://tex.z-dn.net/?f=%20%20a_%7Bn%7D-%20a_%7B1%7D%2Bd%3Dnd%20%20)
![\frac{ a_{n}- a_{1}+d }{d}=n](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20a_%7Bn%7D-%20a_%7B1%7D%2Bd%20%20%7D%7Bd%7D%3Dn%20)
Hence, the correct answer is option d