Question

The rectangle below has an area of x² – 6x – 7 square meters and a width of 3 – 7 meters.

What expression represents the length of the rectangle?

Answer 1

x+1

Explanation:

KA

Answer 2

The expression which represent the length of the rectangle is x + 1

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 =
`((x - 7)* (x + 1))/((x - 7))`

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