# Find the perimeter of a rectangle if you know its area (6800) and aspect ratio 17:16

March 31, 2021 | education

| Let us write an equation in which we write the equal part of the ratio of the lengths of the sides as the unknown value of x.

Since we know from the condition of the problem that the lengths of the sides are related as 17:16, and the area is the product of the sides, we get the following equation:

17 * x * 16 * x = 6800.

272 * x2 = 6800.

x2 6800/272 = 25.

√x = √25 = 5.

So the lengths of the sides will be equal:

5 * 17 = 85.

5 * 16 = 80.

Determine the perimeter of the rectangle.

To do this, multiply the sum of the sides by 2 parts.

2 * (80 + 85) = 2 * 165 = 330.

Answer: 330.

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