AREA AND PERIMETER (CDS)Total Questions: 11621. The angles of a triangle are in the ratio 1 : 1 : 4. If the perimeter of the triangle is k times its largest side, then what is the value of k? [2019 (I) Morning Shift](a)(b)(c)(d)Correct Answer: (a)Solution:The angle of triangle are in the ratio 1 : 1 : 4. Then, two angle are equal 22. The hypotenuse of a right angled triangle is 10 cm and its area is 24 cm². If the shorter side is halved and the longer side is doubled, the new hypotenuse becomes [2019 (I) Morning Shift](a)(b)(c)(d)Correct Answer: (c)Solution:ABC is right angle triangle at B. 23. Consider the following statements : [2019 (I) Morning Shift]1. The perimeter of a triangle is greater than the sum of its three medians. 2. In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.Which of the above statements is/are correct?(a) 1 only(b) 2 only(c) Both 1 and 2(d) Neither 1 nor 2Correct Answer: (c) Both 1 and 2Solution:The perimeter of a triangle is greater than the sum of its three medians. 24. (Questions 24-26) Read the given information carefully and answer the given questions below. [2019 (I) Morning Shift]ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right-angle. Diagram for questions (24-26)What is the area of triangle ADC ?(a) 126 cm²(b) 124 cm²(c) 122 cm²(d) 120 cm²Correct Answer: (a) 126 cm²Solution: 25. What is the area of quadrilateral ABCD ? [2019 (I) Morning Shift]Area of quadrilateral ABCD(a) 300 cm²(b) 306 cm²(c) 312 cm²(d) 316 cm²Correct Answer: (b) 306 cm²26. What is the difference between perimeter of triangle ABC and perimeter of triangle ADC? [2019 (I) Morning Shift](a) 4 cm(b) 5 cm(c) 6 cm(d) 7 cmCorrect Answer: (c) 6 cmSolution:Difference between perimeter of ∆ABC and ∆ADC.27. If base and hypotenuse of a right triangle are (u² - v²) and (u² + v²) respectively and the area of the triangle is 2016 square units, then the perimeter of the triangle may be [2018 (II) Evening Shift](a) 224 units(b) 288 units(c) 448 units(d) 576 unitsCorrect Answer: (b) 288 unitsSolution:According to the question, In right angle ∆ABC, Here,28. A circle is inscribed in an equilateral triangle of side of length e.e. The area of any square inscribed in the circle is [2018 (II) Evening Shift](a) l²/2(b) √3l²/2(c) l²/4(d) l²/6Correct Answer: (d) l²/6Solution:Side of equilateral ∆ABC = l 29. Let S be the parallelogram obtained by joining the mid-points of the parallelogram T. [2018 (II) Evening Shift]Consider the following statements 1. The ratio of area of T to that S is 2 : 1 2. The perimeter of S is half of the sum of diagonals of T.Which of the above statements is/are correct?(a) 1 only(b) 2 only(c) Both 1 and 2(d) Neither 1 nor 2Correct Answer: (a) 1 onlySolution:Given, 30. The sides of a triangle are 5 cm, 6 cm and 7 cm. The area of the triangle is approximately [2018 (II) Evening Shift](a) 14.9 cm²(b) 14.7 cm²(c) 14.5 cm²(d) 14.3 cm²Correct Answer: (b) 14.7 cm²Solution:The sides of triangles are 5cm, 6 cm and 7cm respectivelySubmit Quiz« Previous123456789101112Next »