the area of rectangular carpet is 120m and its parameter is 46m the length of it diagonI is
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Area = lb = 120 sq. m
Perimeter = 2(l+b) = 46 m
l+b = 46/2 = 23 m
(l+b) ^2 = l^2+b^2+2lb
23^2 = l^2+b^2+240
529-240 = l^2+b^2
l^2+b^2 = 289
Length of diagonal = root(l^2+b^2)
= root 289
= 17 m
Perimeter = 2(l+b) = 46 m
l+b = 46/2 = 23 m
(l+b) ^2 = l^2+b^2+2lb
23^2 = l^2+b^2+240
529-240 = l^2+b^2
l^2+b^2 = 289
Length of diagonal = root(l^2+b^2)
= root 289
= 17 m
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