The area of the rectangle is 16/75 m2. Find the perimeter of the rectangle if its width is 4/15 m.

From the problem statement, we know that the area of the rectangle is 16/75 square meters. We know that the area of a rectangle can be calculated using the formula:

S = ab = 16/75

Where
a – the length of the rectangle;
b is the width of the rectangle.

We also know that the width of the rectangle is b = 4/15 meters. Knowing this, we can find the length of the rectangle:

a = S / b = 16/75 / (4/15) = 16/75 * 15/4 = 4/5 meters

Now, knowing the length and width of the rectangle, we can find the perimeter:

P = 2 (a + b) = 2 (4/15 + 4/5) = 2 (4/15 + 12/15) = 2 ((4 + 12) / 15) = 2 (16/15) = 32 /15