Question

if the area of a rhombus are 24cm square and one of a style men before cm find the perimeter of rhombus​

Answer 1

Step-by-step explanation:

The area of a regular rhombus is A=pq/2 , where p and q are the diagonals of the shape.

given A = 24 and p = 4

24=4q/2

48=4q

q=12

so the other diagonal is 12 cm long.

now, by Pythagorean theorem, each side of the rhombus (annotate as s) is given by:

s2=(p/2)2+(q/2)2

s2=(4/2)2+(12/2)2

s2=4+36

s2=40

s=210−−√

since there are 4 sides in a rhombus, so the perimeter of it is:

4∗210−−√

=810−−√