Question

1. find the area of the figure in square feet: 49 ft 74 ft a. 123 b. 246 c. 7252 d. 3626 14. what segment is congruent to \\( \overline{c d} \\)? a. \\( a b \\) b. \\( b c \\) c. \\( c e \\) d. \\( b d \\)

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(l = 74\) ft and \(w = 49\) ft.
\(A=74\times49\)

Step2: Perform the multiplication

\(74\times49=(70 + 4)\times49=70\times49+4\times49=3430+196 = 3626\)

Step1: Find the length of \(\overline{CD}\)

The length of a line segment with endpoints \(x_1\) and \(x_2\) is \(|x_2 - x_1|\). For \(\overline{CD}\), \(x_1 = 0\), \(x_2 = 5\), so \(|5 - 0|=5\)

Step2: Find the length of \(\overline{AB}\)

For \(\overline{AB}\), \(x_1=-7\), \(x_2=-2\), \(|-2-(-7)| = |-2 + 7|=5\)

Step3: Check congruence

Since \(|\overline{CD}|=|\overline{AB}| = 5\), \(\overline{CD}\cong\overline{AB}\)

Answer:

D. 3626