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If the perimeter of a rectangular plot is 68 m and length of its diagonal is 26 m, find its area. |
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Answer» n If the perimeter of a rectangular plot is 68 m and length of its diagonal is 26 m, FIND its area.Answer:Rectangular plot area is 240cm²Step-by-step explanation:Breadth and Length of the rectangle be l and B respectively.Given: Given: Perimeter = 68, Length of diagonal, AC = 26 Perimeter of rectangle= 2(l + b) = 68⇒l + b =68/2 = 34__________(1)And by Pythagoras theoremhypotenuse²= base²+ perpendicular²(26)²=base²+ perpendicular²⇒l² +b²=676From (1) equation, l + b = 34 Squaring on both sides⇒l² +b²+2lb=1156⇒676 + 2 lb= 1156 ⇒ 2 lb = 480 ⇒ lb= 240 ⇒ Area = lb = 240m² |
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