Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 3:1 1:2 4:1 2;3 3:1 1:2 4:1 2;3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2
Area Problems The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. Find the length of the smallest side of the triangle . 18 cm 27 cm 22.5 cm 24 cm 18 cm 27 cm 22.5 cm 24 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given ratio = 1/3 : 1/4 : 1/5 = 20 : 15 : 12Let length of the sides be 20k, 15k and 12k.Then, according to the question,20k + 15k + 12k = 94? 47k = 94? k = 94/47 = 2Smallest side = 12k = 12 x 2 = 24 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 A is required Neither (A) nor (B) is reuired Only statement B is required Both A & B are required Only statement A is 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 The two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is? 18 sq. meters . 12 sq. meters . 9 sq. meters . 6 sq. meters . 18 sq. meters . 12 sq. meters . 9 sq. meters . 6 sq. meters . ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2
Area Problems The ratio of the area of the circumcircle and the incircle of a square is 1 : ?2 1 : 2 2 : 1 ?2 : 1 1 : ?2 1 : 2 2 : 1 ?2 : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1
Area Problems The area of circle is 38.5 sq. cm. Its circumference is? 22 cm 11 cm 6.20 cm 121 cm 22 cm 11 cm 6.20 cm 121 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm
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