Example Question - square area

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Calculation of a Square's Area Based on Given Side Length

<p>Die gegebene Gleichung ist \( A = L \cdot L \), worin \( A \) die Fläche des Quadrats und \( L \) die Länge der Seite des Quadrats darstellt.</p> <p>Es wird gegeben, dass \( A = 13cm \cdot 13cm \).</p> <p>Also, um die Fläche \( A \) zu berechnen, ist die gegebene Seitenlänge \( L \) mit sich selbst zu multiplizieren:</p> <p>\( A = 13cm \cdot 13cm \)</p> <p>\( A = 169cm^2 \)</p> <p>Die Fläche des Quadrats beträgt 169 Quadratzentimeter.</p>

Calculate the Area of a Square

<p>Die Fläche \( A \) eines Quadrats wird berechnet durch \( A = L \cdot L \), wobei \( L \) die Länge einer Seite des Quadrats ist.</p> <p>Gegeben ist \( L = 13 \text{cm} \).</p> <p>Also \( A = 13 \text{cm} \cdot 13 \text{cm} \).</p> <p>\( A = 169 \text{cm}^2 \).</p> <p>Die Fläche des Quadrats ist \( 169 \text{cm}^2 \).</p>

Calculating Total Area of an Irregular Figure

Absolutely, let's break the irregular figure into two rectangular areas (A and B) to find the total area. For rectangle A: - The length is 6 meters. - The width is 18 meters. The area of rectangle A (A_A) is length times width: A_A = 6m * 18m = 108m². For rectangle B, we see it's a square because all sides are equal: - The side length is 18 meters. The area of rectangle B (A_B) is side length squared: A_B = 18m * 18m = 324m². To find the total area (A_total) of the irregular figure, we add the areas of both rectangles: A_total = A_A + A_B A_total = 108m² + 324m² A_total = 432m². Therefore, the area of the irregular figure is 432 square meters.

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