Question

form a rectangle.
use fractions to complete the sentences.
each small tile has side lengths 　　 units and 　　 units.
the area of each small tile is 　　 square units.
the area of the shaded rectangle is 　　 square units.

Explanation:

Step1: Encontrar longitud de lado

El lado grande mide 1 unidad, dividido en 7 partes horizontales y 3 verticales.
Longitud horizontal de azulejo: $\frac{1}{7}$ unidades
Longitud vertical de azulejo: $\frac{1}{3}$ unidades

Step2: Calcular área de azulejo

Área = longitud × anchura
$\text{Área} = \frac{1}{7} \times \frac{1}{3} = \frac{1}{21}$

Step3: Calcular área de zona sombreada

La zona sombreada tiene 3 columnas y 2 filas de azulejos: $3 \times 2 = 6$ azulejos.
$\text{Área sombreada} = 6 \times \frac{1}{21} = \frac{6}{21} = \frac{2}{7}$

Answer:

• Each small tile has side lengths $\frac{1}{7}$ units and $\frac{1}{3}$ units.
• The area of each small tile is $\frac{1}{21}$ square units.
• The area of the shaded rectangle is $\frac{2}{7}$ square units.