Question

The area of this rectangle is 5x2. What does the coefficient 5 mean in terms of the problem?

Answer 1

5 represents one of the dimensions of the rectangle, either length or width.

Answer 2

Answer: The length is 5 times the width

Explanation:

Given: The area of rectangle =
`5x^2=(5x)(x)`

Here x must be a positive real number since it can not be negative.

Also for area of rectangle =
`length * width`

And length is always greater than width of rectangle, therefore in the given expression 'x' must be width and '5x' must be length of rectangle .

[∵ for every positive x , 5x>x]

Hence, the coefficient 5 means the length is 5 times the width.