The area of a rectangle, one side of which is 12 cm, is equal to 72 cm2. Find its perimeter.
September 28, 2021 | education
| 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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