# Find the perimeter of the rectangle if its area is 6800 and the ratio of neighboring sides 17:16.

June 28, 2021 | education

| The area is a product of the parties, which means A * B = 6800.

The ratio of neighboring sides 17:16, it means:

17a = 16b;

A = 16B / 17.

We substitute the obtained value in the first equation:

16b / 17 * b = 6800;

16B ^ 2/17 = 6800.

Multiply both parts of the equation on 17 to get rid of the fraraty.

16b ^ 2 = 115600;

b ^ 2 = 7225.

To find b take the square root of the number 7225, B = 85.

To find A divide 6800 per 85, a = 80.

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