Question

the area of a rectangle with width x and length 7x is 7x^2 what does the coefficient 7 mean in terms of the problem

Answer 1

Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:

Width = x 
Length = 7x
Area = x(7x) = 7x^2

The coefficient 7 would mean that the length is 7 times longer than the width, x.