The sides of the rectangle are 3: 4, calculate the diagonal if its perimeter is 3.5m.

1) Find the lengths of the sides of the rectangle presented (x is one part of the length): P = (a + b) * 2 = (3x + 4x) * 2, where P is the perimeter (P = 3.5 m).

3.5 = (3x + 4x) * 2.

1.75 = 7x and x = 1.75 / 7 = 0.25 m.

Big side: a = 4x = 4 * 0.25 = 1 m.

Smaller side: b = 3x = 3 * 0.25 = 0.75 m.

2) Determine the length of the diagonal: d = √ (a ^ 2 + b ^ 2) = √ (1 ^ 2 + 0.75 ^ 2) = √1.5625 = 1.25 m.

Answer: The length of the diagonal of the rectangle shown is 1.25 meters.