Question

The length of a rectangle is 16 cm and the length of its diagonal is 20 cm. Find the area of the rectangle​​

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Answer 1

Answer:

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Explanation:

192cm

2

Because,

Let ABCD be the rectangular plot.

Then, AB=16cm and AC=20cm

BC=?

According to Pythagoras theorem,

From right angle triangle ABC, we have:

=AC

2

=AB

2

+BC

2

=20

2

=16

2

+BC

2

=BC

2

=20

2

−16

2

=BC

2

=400−256

=BC

2

=144

=BC=

144

=BC=12cm

Hence, the area of the rectangle plot =(l×b)

Where, l=16cm,b=12cm

Then,

=(16×12)

=192cm

2