Question

hallar el área del siguiente rectángulo.
escribir la respuesta en forma reducida.
incluir las unidades correctas en la respuesta.

Explanation:

Step1: Convert mixed numbers to improper fractions

The formula for the area of a rectangle is \(A = l\times w\). The length \(l = 5\frac{5}{6}=\frac{5\times6 + 5}{6}=\frac{30+5}{6}=\frac{35}{6}\) yd, and the width \(w=\frac{11}{12}\) yd.

Step2: Calculate the product of the two fractions

$$
LATEXBLOCK0
$$

Step3: Convert the improper fraction to a mixed number (if needed)

\(\frac{385}{72}=5\frac{25}{72}\) yd² (since \(385\div72 = 5\) with a remainder of \(385-(72\times5)=385 - 360=25\))

Answer:

\(\frac{385}{72}\text{ yd}^2\) or \(5\frac{25}{72}\text{ yd}^2\)