the area of a rectangular carpet is 120 metre square and its perimeter is 46 metre find the length of its diagonal
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let length be l and breadth be b
area of rectangle =l×b=120m²
perimeter of rectangle =46m
2(l+b)=46m
l+b=23
diagonal²=l²+b²
diagonal =root(l²+b²)
=root((l+b)²-2lb)
=root((23)²-2×120)
=root(529-240)=root289=17cm
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