Answer:
Step-by-step explanation:
Let width of the parking space = x meters
Since, parking space is 6 meters longer than the width,
Length of the parking space = (x + 6) meters
Area of the parking space = Length × Width
= x(x + 6)
Area of the parking space is less than 40 square meters.
Therefore, inequality representing the area of the parking will be,
x(x + 6) < 40
x² + 6x < 40
x² + 6x - 40 < 0
x² + 10x - 4x - 40 < 0
x(x + 10) - 4(x + 10) < 0
(x - 4)(x + 10) < 0
-10 < x < 4
For -10 < x ≤ 0, width of the paring will be negative.
Therefore, possible values of x will be in the interval,
0 < x < 4
Or 0 < width < 4
Length of the parking space will be,
6 < Length < 10
