Question

find the perimeter of the given rectangle: 3cm 3cm 56 cm 22 cm 36 cm 46 cm

Explanation:

Step1: Determine length and width of rectangle

The radius of each circle is \( r = 3\,\text{cm} \), so the diameter of one circle is \( d = 2r = 2\times3 = 6\,\text{cm} \).
The length of the rectangle is the sum of the diameters of two circles: \( l = 2d = 2\times6 = 12\,\text{cm} \).
The width of the rectangle is equal to the diameter of one circle: \( w = d = 6\,\text{cm} \).

Step2: Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is \( P = 2(l + w) \).
Substitute \( l = 12\,\text{cm} \) and \( w = 6\,\text{cm} \) into the formula:
\( P = 2(12 + 6) = 2\times18 = 36\,\text{cm} \).

Answer:

36 cm