The area of rectangle carpet is 120 square meter and its perimeter is 46 meter. The length of the diagonal of rectangle will be.
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Area of the rectangular carper =120 cm
2
Perimeter =46 m
2(l+b)=46
(l+b)=46/2
l+b=23
And, length × breadth=120
Now, we know that :
(l−b)
2
=(l+b)
2
−4lb
(l−b)
2
=(23)
2
−4×120
(l−b)
2
=529−480
(l−b)
2
=49
(l−b)
2
=(7)
2
Hence, l−b=7
And l+b=23
By adding, we get 2l=30
l=30/2
l=15
and, b=23−15
b=8
Diagonal =
(l
2
+b
2
)
=
(15)
2
+(8)
2
=
(225+64)
=
(289)
=17 m
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