Question

the length of a rhombus is equal to to the length of a square and the length of diagonal of square is 40root2 cm. if the length of the diagonals of the rhombus are in ratio 3:4,then let us write by calculating the area of the field in shape of rhombus​

Answer 1

Answer:

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.