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The perimeter of a rectangle is 34 cm, area 60 square centimeter. Find the sides |
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Answer» Let x be the length Perimeter 34 cm, therefore width will be 17- x cm Perimeter = 60 cm, therefore width be \(\frac{60}{x}\) cm \(\frac{60}{x}=17-x,\) 60 = 17x - x2 x2 - 17x + 60 = 0 \(x=\frac{17\pm \sqrt{289-240}}{2}=\frac{17\pm 7}{2}=12,5\) x = 5 cm length = 12 cm therefore width = 17 – 12 = 5 cm length = 12 cm , width = 5 cm |
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