Area Problems The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller? 4 times 5 times 2 times 3 times 4 times 5 times 2 times 3 times ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 53.75% 56.25% 50% 125% 53.75% 56.25% 50% 125% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems The radius of a circular field is 25 m. Find the area of the field. 125 ? sq m 25 ? sq m 625 ? sq m 135 ? sq m 125 ? sq m 25 ? sq m 625 ? sq m 135 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
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. Only statement A is required Both A & B are required Neither (A) nor (B) is reuired Only statement B is required Only statement A is required Both A & B are required Neither (A) nor (B) is reuired Only statement B is required ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From statement (A), 20b = (1/2) × b × h h = 40 cm.
Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 16 m 20 m 17 m 15 m 16 m 20 m 17 m 15 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m
Area Problems A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is? (100/ ? 3 ) meters 100 meters 66.66 meters 33 meters (100/ ? 3 ) meters 100 meters 66.66 meters 33 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = b meters. then, length = 3b/2 meters ? b x 3b/2 = 2/3 X 10000? b2 = (4 x 10000)/9? b = ( 2 X 100)/3 m ? Length = (3/2) x (2/3) x 100 m= 100 m
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