Answer:
The expression which represent the length of the rectangle is x + 1
Step-by-step explanation:
Given as :
The Area of rectangle = x² - 6 x - 7 square meters
The width of the rectangle = w = x - 7 meters
Let The length of rectangle = L meters
Now, According to question
∵ Area of Rectangle = Length × width
or, x² - 6 x - 7 meters² = L meters × w meters
or, x² - 6 x - 7 = L × (x - 7)
or, x² - 7 x + x - 7 = L × (x - 7)
or, x (x - 7) + 1 (x - 7) = L × (x - 7)
or, (x - 7) (x + 1) = L × (x - 7)
∴ L = [tex]\frac{(x - 7)\times (x + 1)}{(x - 7)}[/tex]
I,e L = x + 1
So, The length of rectangle = L = x + 1
Hence,The expression which represent the length of the rectangle is x + 1 Answer
