1.

1). 84 cm22). 138.5 cm23). 166 cm24). 96.25 cm2

Answer»

Let l and b be the length and BREADTH of rectangle respectively.

Then perimeter of rectangle, 2(l + b) = 42 cm

⇒ l + b = 21cm

⇒ (l + b)2 = 441 cm.......(1)

Length of DIAGONAL = 2√41

⇒ l2 + b2 = (2√41)2 (Using Pythagoras theorem)

⇒ l2 + b2 = 164.......(2)

? (l + b)2 = l2 + b2 + 2l × b (Using IDENTITY, (a + b)2 = a2 + b2 + 2ab)

⇒ 441 = 164 + 2l × b

⇒ l × b = 138.5

∴ Area of rectangle = 138.5 cm2 (? area of rectangle is length × breadth)



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