Question

The perimeter of a rhombus is 52 cm. The length of one of it's diagonals is 24 cm. Find the area of the rhombus.​

Answer 1

Answer:

The perimeter of the rhombus is 52 cm. If one of the diagonal is 24 cm, then find the area of the rhombus in cm

2

.

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ANSWER

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