The area of a rectangle, one side of which is 12 cm, is equal to 72 cm2. Find its perimeter.

To solve this task, let’s remember the definition of the perimeter;

The perimeter is the sum of the lengths of all sides;

So, to find the perimeter, you need to know all the sides;

Let’s write down the formula for the perimeter of a rectangle;

P = (a + b) * 2;

Since we do not know the second side, we write down the area formula;

S = a * b;

Let us express the second side from this formula;

b = S / a;

Substitute the data into the formula and find the second side;

h = 72/12;

h = 6cm;

Now, knowing both sides, we find the perimeter of the rectangle;

P = (12 + 6) * 2 = 18 * 2 = 36cm;

Answer: P = 36cm.

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