A) 90 cm
B) 45 cm
C) 89 cm
D) 98 cm
Correct Answer: D
Solution :
ABCD is a rectangle, In \[\Delta \,ACB,\] \[A{{C}^{2}}=A{{B}^{2}}+B{{C}^{2}}\] (By Pythagoras theorem) \[{{(35)}^{2}}={{(28)}^{2}}+B{{C}^{2}}\] or \[B{{C}^{2}}={{(35)}^{2}}-{{(28)}^{2}}\] \[\Rightarrow \] \[B{{C}^{2}}=1225-784\Rightarrow B{{C}^{2}}=441\] \[\therefore \] \[BC=\sqrt{441}=21\,cm\] \[\therefore \] Perimeter of rectangle \[=2\times (28+21)\,cm\] \[=2\times (49)\,cm=98\,cm\]You need to login to perform this action.
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