Area Problems Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm. 15 cm 18 cm 14 cm 20 cm 15 cm 18 cm 14 cm 20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 cm
Area Problems The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres? 40 Data inadequate 120 None of these 40 Data inadequate 120 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x metres. Then, length = (x + 20) metres. Perimeter = ❨ 5300 ❩ m = 200 m. 26.50 ∴ 2[(x + 20) + x] = 200 ⟹ 2x + 20 = 100 ⟹ 2x = 80 ⟹ x = 40. Hence, length = x + 20 = 60 m
Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 35 sq.cms 8. 75 sq.cms 55 sq.cms 17.5 sq.cms 35 sq.cms 8. 75 sq.cms 55 sq.cms 17.5 sq.cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2
Area Problems A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 7 cm 3.5 cm 28 cm 14 cm 7 cm 3.5 cm 28 cm 14 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.
Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? ? 3: 2 4 : 3 3 : 4 9 : 16 ? 3: 2 4 : 3 3 : 4 9 : 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16
Area Problems The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm. Both A & B are required Only statement B is required Only statement A is required Neither (A) nor (B) is reuired Both A & B are required Only statement B is required Only statement A is required Neither (A) nor (B) is reuired ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From statement (A), 20b = (1/2) × b × h h = 40 cm.
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