The width of a rectangle is fixed at 6cm. Determine (in terms of an inequality) those lengths for which the area will be less than 126cm^2
126 cm^2 = 6cm * x
X = 126/6
= 21 cm
so, 21 is the highest value, which make the inequality be :
x ≤ 21
Explanation:
The width is 6 cm, but the other dimension is unknown, that will be ''X''.
So, the area of the rectangle would be according to the expression:
\(A = x . 6 (cm)\)
They want us to find a range of lengths with an area minor than \(126 cm^{2}\)
Therefore, this is an inequality problem, which expression will be:
\(x . 6 < 126\\x < \frac{126}{6}\\ Hence, x < 21\\\)
Finally, the length's range that ensure an area less than 126, it's all length less than 21.