Area Aptitude Test Paper 626) A blanket, when bleached, decreases in length by 20% and in breadth by 15%. What is the percentage decrease in its area?
Answer: A Explanation: Let original length = X Original breadth = Y So, original area = XY 27) The difference between the length and breadth of a rectangle is 25 meters. If the perimeter of this rectangle is 210 meters, what is its area?
Answer: B Explanation: The perimeter: 2 (L + B) = 210 or L+ B = 105 ...... (i) As per the question: (L  B) = 25 ....... (ii) Solving the above two equations: L + B = 105 B = 105  L Put the value of B in (ii). L  (105  L) = 25 L  105 + L = 25 2L = 25 + 105 2L = 130 L = 65 So,  B = 105  65 = 40 Now, area of a rectangle: L *B= 65 * 40 = 2600 m^{2} 28) The side of a rhombus is 25 m, and one of its diagonal is 30 meters. What is its area?
Answer: D Explanation: Diagonal of a rhombus bisect and divide each other equally. So, half of the given diagonal = 15 m. Let the half of the other diagonal = X So, as per the Pythagoras theorem: 15^{2} + X^{2} = 25^{2} 225 + X^{2} = 625 X^{2} = 625  225 X^{2} = 400 X = 20 So, the length of the other diagonal is double of X: 20 + 20 = 40 m. Now, Area of a rhombus = 1/2 * (product of diagonals) = 1/2 * 30 * 40= 600 sq. m. 29) The area of a parallelogram is 162 square meters. If its altitude is twice the corresponding base, find the length of the base?
Answer: C Explanation: Area of a parallelogram = (Base * Height) Let the length of the base is = X Then, the altitude or height is = 2X So, Area: X * 2X = 162 sq. m. 2X^{2} = 162 X^{2} = 81 X = 9 meters (length of the base). 30) The area of a trapezium is 1500 sq. m. If the parallel sides are in the ratio of 12: 18 and the distance between the parallel sides is 32 meters, what is the length of the smaller parallel side?
Answer: A Explanation: Trapezium is a quadrilateral with one pair of parallel sides. Let the length of the smaller side = 12x Length of the bigger parallel side = 18x Distance between parallel sides = 32 meters Area of a trapezium = 1/2 * (sum of parallel sides) * distance between them. So, as per the question: 1500 = 1/2 (12x +18x) * 30 1500 = 1/2 * 30x * 30 1500 = 30x * 15 30x = 1500 /15 30x = 100 x= 100 /30 = 3.3 meters Area Aptitude Test Paper 1 Area Aptitude Test Paper 2 Area Aptitude Test Paper 3 Area Aptitude Test Paper 4 Area Aptitude Test Paper 5 Area Aptitude Test Paper 7 Area Aptitude Test Paper 8 Area Concepts
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