Final answer:
To find the width of the triangle, we need to compare the areas of the rectangle and the triangle. The area of the rectangle is given, and we can use it to solve for the width of the triangle. The width of the triangle is approximately 5.5 cm.
Step-by-step explanation:
To find the width of the triangle, we need to compare the areas of the rectangle and the triangle. The given information states that the area of the rectangle is 8 times the area of the triangle. We know the width of the rectangle is 11 cm and the length is 22 cm. Therefore, the area of the rectangle is 11 cm * 22 cm = 242 cm².
Let's represent the width of the triangle as 'w'. The formula for the area of a triangle is (1/2) * base * height. Since we only have the width of the triangle, we'll use 'w' as both the base and height. Therefore, the area of the triangle is (1/2) * w * w = (1/2) * w².
According to the given information, the area of the rectangle is 8 times the area of the triangle. So we have the equation: 242 cm² = 8 * (1/2) * w². Simplifying this equation, we get w² = 242 cm² / 8 = 30.25 cm². Taking the square root of both sides, we find that w ≈ 5.5 cm.
Therefore, the width of the triangle is approximately 5.5cm.