Question

The length of a rectangle is 24 cm and each of its diagonals measures 26 cm. Its breadth is……… ?

Answer 1

Answer:

It is given that,

Length = 24 cm.

Diagonal = 25 cm.

Consider the breadth of a rectangle = b m.

Using Pythagoras theorem in triangle ABC,

AC

2

=AB

2

+BC

2

Substituting the values,

252=242+b

2

625=576+b

2

By further calculation,

b

2

=625–576=49

b=

49

=7 cm.

Here the perimeter of rectangle = 2(l+b)

Substituting the values,

=2(24+7)

So we get,

=2(31)

=62 cm.

Step-by-step explanation:

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Answer 2

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