Answer :
Answer:
Step-by-step explanation:To find the perimeter of the larger triangle formed by arranging three smaller rectangles together, we need to calculate the lengths of the sides of the larger triangle.
Each smaller rectangle has a length of 6 cm and a width of 3 cm.
When three of these rectangles are arranged to form a larger triangle, the length of the larger triangle's base will be \(3 \times 3 = 9\) cm (since each smaller rectangle contributes 3 cm to the base) and the height of the larger triangle will be 6 cm.
Using the Pythagorean theorem, we can find the length of the hypotenuse (the slanted side) of the larger triangle:
\[
\text{Hypotenuse} = \sqrt{\text{Base}^2 + \text{Height}^2} = \sqrt{9^2 + 6^2} = \sqrt{81 + 36} = \sqrt{117} \approx 10.82 \text{ cm}
\]
So, the perimeter of the larger triangle is the sum of its three sides:
\[
\text{Perimeter} = \text{Base} + \text{Height} + \text{Hypotenuse} = 9 \text{ cm} + 6 \text{ cm} + \sqrt{117} \text{ cm} \approx 9 \text{ cm} + 6 \text{ cm} + 10.82 \text{ cm} \approx 25.82 \text{ cm}
\]
Therefore, the perimeter of the larger triangle is approximately \(25.82\) centimeters.
