Question

5) The area of a rhombus is 24 cm? and its
perimeter is 20 cm. What is its height?​

Answer 1

Step-by-step explanation:

Side of a rhombus=

4

1

×52cm

=13cm

Let AC = 24cm so that

AO=

2

1

×24cm

=12cm

∴OB

2

=AB

2

−OA

2

=(169-144)=25

or OB=5 and thus BD=2.OB=2×5=10cm

Area of the rhombus =

2

1

×24×10

=120cm

2