Area Problems The ratio of the area of square of side a and equilateral triangle of side a is? 2 : ?3 4 : ?3 4 :3 2 :1 2 : ?3 4 : ?3 4 :3 2 :1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
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? 19 cm2 18 cm2 12 cm 2 9 cm 2 19 cm2 18 cm2 12 cm 2 9 cm 2 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
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 The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height? 14 cm 13 cm 16 cm 12 cm 14 cm 13 cm 16 cm 12 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let height =x Then, base =2x 2x * x = 338 =>x=13
Area Problems In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are? 24 cm, 48 cm 12 cm, 24 cm 6 ?2 cm, 12?2 cm 6 cm, 12 cm 24 cm, 48 cm 12 cm, 24 cm 6 ?2 cm, 12?2 cm 6 cm, 12 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm
Area Problems Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m. 8 m 12 m 13 m 7 m 8 m 12 m 13 m 7 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m
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