Example Question - calculating shaded area
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Calculating Shaded Area of Figure
To find the shaded area of the given figure, you need to calculate the area of the large rectangle and then subtract the area of the smaller, unshaded rectangle that is inside the larger rectangle. The area of a rectangle is found using the formula: Area = length × width 1. Calculate the area of the large rectangle: Length = 17 cm Width = 11 cm Area (large rectangle) = 17 cm × 11 cm = 187 cm² 2. Calculate the area of the smaller rectangle: From the given lengths in the image, you can deduce that the length of the smaller (inner) rectangle would be 17 cm - 3 cm - 3 cm (since there are two 3 cm lengths subtracted from the total width), and for the width 11 cm - 3 cm - 3 cm (two 3 cm lengths subtracted from the total length). Length (small rectangle) = 17 cm - 6 cm = 11 cm Width (small rectangle) = 11 cm - 6 cm = 5 cm Area (small rectangle) = 11 cm × 5 cm = 55 cm² 3. Calculate the shaded area by subtracting the area of the small rectangle from the area of the large rectangle: Shaded area = Area (large rectangle) - Area (small rectangle) Shaded area = 187 cm² - 55 cm² = 132 cm² Therefore, the shaded area of the figure is 132 cm².
Calculating Shaded Area of Figure
Para calcular el área sombreada azul de la figura, primero necesitamos identificar la forma de la figura completa y la parte que no está sombreada. La figura completa parece ser un rectángulo grande y la parte no sombreada también es un rectángulo más pequeño. Así que vamos a calcular el área del rectángulo grande y restarle el área del rectángulo pequeño. El área de un rectángulo se calcula multiplicando la longitud por la altura. 1. Calcular el área del rectángulo grande: Área grande = longitud x altura = 7 m x 6 m = 42 m² 2. Calcular el área del rectángulo pequeño: Área pequeña = longitud x altura = 3 m x 3 m = 9 m² 3. Calcular el área sombreada restando el área pequeña del área grande: Área sombreada = Área grande - Área pequeña = 42 m² - 9 m² = 33 m² Por lo tanto, el área sombreada azul de la figura es 33 metros cuadrados.
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