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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Length = 16 cm

breadth = 20 cm

Let ABCD be the rectangular plot.

Then, AB=16cm and AC=20cm

BC=?

According to Pythagoras theorem,

From right angle triangle ABC, we have:

=AC2=AB2+BC2

=202=162+BC2

=BC2=202−162

=BC2=400−256

=BC2=144

=BC=144

=BC=12cm

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

Where,

 l=16cm,b=12cm

Then,

=(16×12)

=192cm2

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Answer 2

The length of a rectangle is 16 cm and the length of its diagonal is 20 cm. The area of the rectangle is 192cm²