Answer:
length = x - 2
Explanation:
The area (A) of a rectangle is calculated as
A = length × width
Here A = x² - 7x + 10 and width = x - 5
x² - 7x + 10 = length × (x - 5) ← divide both sides by (x - 5)
length =
← factor the numerator
=
← cancel common factor (x - 5) on numerator/ denominator
= x - 2
Thus length = x - 2 metres