AMC 8 2019

Three identical rectangles are put together to form rectangle $ABCD$ , as shown in the figure below. Given that the length of the shorter side of each of the smaller rectangles $5$ feet, what is the area in square feet of rectangle $ABCD$ ?

$A$ $B$ $C$ $D$

$\textbf{(A) }45 \textbf{(B) }75 \textbf{(C) }100 \textbf{(D) }125 \textbf{(E) }150$

Which of the following is the correct order of the fractions $\frac{15}{11}, \frac{19}{15}$ , and $\frac{17}{13}$ , from least to greatest? $\textbf{(A) } \frac{15}{11} < \frac{17}{13} < \frac{19}{15} \textbf{(B) } \frac{15}{11} < \frac{19}{15} < \frac{17}{13} \textbf{(C) } \frac{17}{13} < \frac{19}{15} < \frac{15}{11} \newline\newline \textbf{(D) } \frac{19}{15} < \frac{15}{11} < \frac{17}{13} \textbf{(E) } \frac{19}{15} < \frac{17}{13} < \frac{15}{11}$

Quadrilateral $ABCD$ is a rhombus with perimeter $52$ meters. The length of diagonal $\overline{AC}$ is $24$ meters. What is the area in square meters of rhombus $ABCD$ ?

$A$ $D$ $C$ $B$

$\textbf{(A) } 60 \textbf{(B) } 90 \textbf{(C) } 105 \textbf{(D) } 120 \textbf{(E) } 144$