Question

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

Answer 1

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.

Answer 2

126 cm^2  = 6cm * x

X = 126/6

= 21 cm

so, 21 is the highest value,  which make the inequality be :

x ≤ 21