Question

1. rectangle abcd is shown with the dimensions given in units.

the length of \\(\overline{ab}\\) is greater than the length of \\(\overline{ad}\\). which inequality represents this situation?
a. \\(9x - 16 < 1.5x + 42\\) b. \\(9x - 16 > 1.5x + 42\\)
c. \\(10.5x < 26\\) d. \\(10.5x > 26\\)

Explanation:

Step1: Analyze the lengths

The length of \(\overline{AB}\) is \(9x - 16\) units and the length of \(\overline{AD}\) is \(1.5x + 42\) units.

Step2: Set up the inequality

Since the length of \(\overline{AB}\) is greater than the length of \(\overline{AD}\), we get \(9x - 16>1.5x + 42\).

Answer:

B. \(9x - 16>1.5x + 42\)