Question

the diagonals of a rhombus are in the ratio 3 :4 if the longer diagonals is of 12 cm then find the area of rhombus.​

Answer 1

Area= 54 cm^2

Explanation:

Recall that a rhombus is given by the product of its two diagonals (d1 and d2) divided by 2.

Area = d1 * d2 / 2

So in our case, the longer diagonal is 12 cm long, and the shortest one should be in the ratio 3:4, therefore:

3 /4 = d2 / d1

3 / 4 = d2 / 12

d2 = 3 * 12 /4

d2 = 3 * 3

d2 = 9 cm

Then we can now calculate the Area of the rhombus as;

Area = d1 * d2 / 2 = 12 * 9 / 2 = 54 cm^2