find the length of diagonal of a rectangle whose length and width are 16 and 12
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Step-by-step explanation:
It is given that , area of rectangle is 192sq.cm.
Area=Length×Bredth
⇒192=16×BC
⇒BC=
16
192
⇒BC=12cm...(1)
According to pythagoras theorem,
In△ABC
AB
2
+BC
2
=AC
2
⇒(16)
2
+(12)
2
=A
2
⇒256+144=AC
2
⇒AC
2
=400
⇒AC=20cm
Hence , the length of a diagonal of the rectangle is 20cm.
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