Answer:
384 sq mm
Step-by-step explanation:
Remember that the diagonals of a rhombus are perpendicular bisectors of each other.
So, one side of the rhombus, half the longer diag and half the shorter diag form the 3 sides of a right triangle
with the rhombus side being the hypotenuse.
In this case, let the shorter diagnoal be x mm. In the right triangle,
Hypotenuse = 20
One side = 32/2 = 16
Other side = x/2
Applying Pythagoras principle,
[ check the file attatched ] (taking only the positive square root)
So the shorter diagonal = 12*2 = 24 mm
Area of the rhombus is given by the formula (1/2)*d1*d2 where d1, d2 are the 2 diagonals.
Here, the area = (1/2)*32*24 = 32*12 = 384 sq mm
