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