Answer Answer: Option B Explanation:Let x and y be the sides of the rectangle. then, correct area = xy. Calculated area = (105/100 x) * (96/100 y) = 504/500 xy. Error in measurement = (504/500 xy) - xy = 4/500 xy Therefore error % = { 4/500 xy * 1/xy *100}% = 4/5 % = 0.8%
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Answer Answer: Option D Explanation:Let breadth = x meters. Then, length = (3/2 x) meters. Area = (2/3 *10000) m^2 Therefore 3/2 x * x = 2/3 * 10000 <=> x^2 = 4/9 * 10000 <=> x = 2/3 * 100 Therefore length = 3/2 x = (3/2 * 2/3 * 100) m =100 m.
Answer Answer: Option B Explanation:We have : lb = 60 and root of l^2+b^2 + l = 5b Now, l^2 +b^2 = (5b - l)^2 => 24b^2 - 10lb = 0 => 24b^2 - 600 = 0 => b^2 = 25 => b = 5. Therefore l = (60/5) m = 12 m. So, length of the carpet = 12 m
Answer Answer: Option D Explanation:Let length = x and breadth = y. Then 2 (x + y) =46 or x + y = 23 and x^2 + y^2 = (17)^2 = 289 Now, (x + y)^2 = (23)^2 <=> (x^2 + y^2) + 2xy = 529 <=> 289 + 2xy = 529 <=> xy = 120 Therefore area = xy = 120 cm^2
Answer Answer: Option A Explanation:Other side = (17)^2 - (15)^2 = 289 - 225 = 64 = 8 m. Therefore area = (15 * 8) m^2 = 120 m^2