Question

can a rectangle of perimeter 28cm have a diagonal 14 cm​

Answer 1

Answer:

Perimeter of rhombus=100 cm

∴one side of rhombus=

4

100

=25cm

Since diagonal of a rhombus bisect each other at right angle

∴AO=

2

1

×14=7cm.and∠AOB=90

∘

In ΔAOB

OB=

AB

2

−AO

2

OB=

25

2

−7

2

OB=

625−49

OB=

576

OB=24cm

∴ Length of other diagonal=2×OB=2×24=48cm

Area of the rhombus =

2

1

×product of diagonal

⇒

2

1

×48×14=336sq.cm

solution

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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

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