Question

the diagnols of a rombus are in the ratio 3:4 if its perimeter is 40 cm find the length of the side and diagnols of the rombus

Answer 1

Do you mean that the ratio of the two diagonals is 3:4?

If that is what you mean then…

The diagonals of a rhombus form right triangles.

If the two legs are in a 3:4 ratio, this is a 3–4–5 pythagorean triple.

Since the Hypotenuse is 40, that is 5 x 8. So the sides will measure 3 x 8 (24) and 4 x 8 (32).

These sides of the right triangle are half the entire diagonal, so the diagonals are 48 and 64.

The area of a rhombus can be found by the formula (1/2)(D1)(D2) = (1/2)(48)(64) = 1536.

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