Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 12.36% 8.39% 15% 17% 12.36% 8.39% 15% 17% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
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 9 : 16 3 : 4 ? 3: 2 4 : 3 9 : 16 3 : 4 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 area of a rectangular field is 15 time the sum of its length and breadth. If the length of that field is 40 m, what is the breadth of that field? 24 m 32 m 28 m 25 m 24 m 32 m 28 m 25 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length ot rectangle = 40 mLet breadth of = kThen, according of the question, (40 + k)15 = 40k ? 600 + 15k = 40k ? 25k = 600? k = 24 m
Area Problems If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus? 12 cm 5 cm 20 cm 10 cm 12 cm 5 cm 20 cm 10 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter of rhombus= 2 ? d12 + d22 = 2 ?(4.8)2 + (1.4)2= 2 ?23.04 + 1.96 = 2 ?25 = 2 x 5 = 10 cm
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.
Area Problems If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is? 18 cm2 9 cm 2 12 cm 2 19 cm2 18 cm2 9 cm 2 12 cm 2 19 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2
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