The aspect ratio of the rectangle is 7: 3. And its perimeter = 13.6. find its area.

1. By the statement of the problem, it is known that the ratio of the sides of the rectangle is 7: 3.

Let’s count how many parts the perimeter is divided into.

7 hours * 2 + 3 hours * 2 = 20 parts.

2. Determine how much each part is if the entire perimeter is 13.6.

13.6: 20 = 0.68.

3. Now let’s calculate the length and width of the rectangle.

0.68 * 7 = 4.76;

0.68 * 3 = 2.04.

4. We find out what the area S is equal to by the formula: the area of a rectangle is equal to the product of its two measurements, which means

S = 4.76 * 2.04 = 9.71 units ²

Answer: The required area is 9.71 units ²